Solve the system of equations below using the elimination method.



Show how you determined your solution.
4x+y=23
3x-y=12

Answers

Answer 1

Answer:

The solution is (5, 3)

Step-by-step explanation:

To solve this system of linear equations, let's use elimination by addition and subtraction.  This approach is particularly easy because one equation already has +y and the other -y, summing up to zero:

4x+y=23

3x-y=12

---------------

7x   = 35

Then x must be 5.  

Substituting 5 for x in the first equation, we get

4(5) + y = 23.  Then 20 + y = 23, or y = 3.

The solution is (5, 3)


Related Questions

Se tienen 25 billetes de 5 y de 20 lempiras con un monto de 350 lempiras cuantos billetes de 5 lempiras se tienen y de 20 lempiras

Answers

Answer:

El número de facturas

5 lempiras = 10 billetes

20 lempiras = 15 billetes

Step-by-step explanation:

Vamos a representar

El número de facturas de

5 lempiras = x

20 lempiras = y

Nuestro sistema de ecuaciones se da como:

x + y = 25 ..... Ecuación 1

x = 25 - y

5 × x + 20 × y = 350

5x + 20y = 350 .... Ecuación 2

Sustituiríamos x por 25 - y en la ecuación 2

5 (25 - años) + 20y = 350

125 - 5 años + 20 años = 350

125 + 15 años = 350

15 años = 350 - 125

15 años = 225

y = 225/15

y = 15

Resolviendo para x

x = 25 - y

x = 25 - 15

x = 10

Por lo tanto, el número de facturas

5 lempiras = 10 billetes

20 lempiras = 15 billetes


What is the coefficient of the expression:
3n+4

Answers

Answer:

The coefficient is 3, the number right before the variable.

Answer:

3

Step-by-step explanation:

Use an algebraic approach to solve the problem.

If a ring costs a jeweler $1500, at what price should it be sold to yield a profit of 50% on the selling price?

Answers

Answer:

$2250

Step-by-step explanation:

selling the ring at 100% of $1500 would equal 1500 and yield no profit

therefore, you must sell the ring at 150% (where 100% covers the cost and the additional 50% provides the profit) of 1500

1.5 x 1500 = 2250

20
Select the correct pairs of triangles.
The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?
Triangle 1: 55°, 45°
Triangle 2: 55°, 80°
Triangle 1: 103°, 32
Triangle 2: 103, 25°
Triangle 1: 73°, 47°
Triangle 2: 47°, 30°
Triangle 1: 105°, 23°
Triangle 2: 52°, 105
Triangle 1: 99, 41°
Triangle 2: 40°, 999
Reset
Next

Answers

Answer:

Your answer would be the third one

Step-by-step explanation:

Triangle 1 - 73, 45

Triangle 2 - 47, 30

Triangle 1: 105°, 23° and Triangle 2: 52°, 105 are similar.

Option (4) is correct.

What is a Triangle?

A triangle in geometry is a three-sided polygon with three edges and three vertices.

As per the given data:

We are given two angles for each pair of triangles, and we have to find out which of the pair of triangles are similar.

For any two triangles to be similar, it must have 2 angles which are having the same measure.

For, Triangle 1: 55°, 45° and Triangle 2: 55°, 80°

Only one angle is same, hence not similar.

Triangle 1: 103°, 32° and Triangle 2: 103°, 25°

Only one angle is same, hence not similar.

Triangle 1: 73°, 47° and Triangle 2: 47°, 30°

Only one angle is same, hence not similar.

Triangle 1: 105°, 23° and Triangle 2: 52°, 105

By using angle sum property in Triangle 1 the remaining angles is:

= 180 - (105 + 23) = 52°

By using angle sum property in Triangle 2 the remaining angles is:

= 180 - (52 + 105) = 23°

2 angles are same, hence similar.

Triangle 1: 99, 41° and Triangle 2: 40°, 99°

Only one angle is same, hence not similar.

Hence, Triangle 1: 105°, 23° and Triangle 2: 52°, 105 are similar.

To learn more on Triangle, click:

brainly.com/question/19976619

#SPJ7

How many possible outcomes are in spinning a spinner divided into red, yellow, orange, purple, blue, and pink?

SOMEONE ANSWER PLS

Answers

Answer:

Possible outcomes = 6

Step-by-step explanation:

Since the spinner is divided into red, yellow, orange, purple, blue and pink

Total of 6 colors.

Which linear inequality is represented by the graph?
y<3x+2
y>3x+2
y<1/3x+2
y>1/3x+2​

Answers

Answer:

Y < 3x+2

Step-by-step explanation:

Alright so if you ever get stuck on something like this, Go on demos and put in (0,2) and then add in (-3,-7) and then add in the other answers to see if they match.

So your answer is:

y>3x+2

Help pls pls pls pls

Answers

Answer:

C

Step-by-step explanation:

Answer:

option c is correct

Step-by-step explanation:

y = 2x +5

5 = 2*0 +5

5 = 0 +5

5=5

y = 2x +5

9 = 2*2 + 5

=9 = 4 +5

9=9

y = 2x +5

13 = 2*4 +5

13 = 8 + 5

13 = 13

therefore option c is correct because it satisfies all the elements of x and y of the given function when we substitute the values.

.Find x in the following figure. plss helpp need ans asap!​

Answers

Answer:

80

Step-by-step explanation:

This is a pentagon (5 sides), n=5

The sum of internal angles equals (n-2)*180 = 540°

We have

A = 90

B = 180-40

C = 180-x

D = 180-60

E = 180-90

Sum all the angles to equal 540°

90 + 180-40 + 180-x + 180-60 + 180-90 = 540

620-x = 540

solve for x

x = 620 - 540 = 80

Answer:

80

Step-by-step explanation:

the answer should be 80 just as mathmate explained

Bye !

Alejandra correctly wrote the equation y-3=1/5 (x-10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line? ​

Answers

Answer:

y-3=2(x-10)

Step-by-step explanation:

y-3=2(x-10)

(e+8)°
(3e-4°
Need help asap thx

Answers

Answer:

e=44°

Step-by-step explanation:

3e-4+e+8 = 180 degree (being linear pair)

4e+4=180

4e=180-4

4e=176

e=176/4

e=44 degree

If people send links report them

If valorie made five times more baskets than her brother Vance

But if she made 70 baskets how many baskets did Vance make

Answers

Answer:

I say its 14 because it says  times more" so u would divide 70 by 5 but im debating between 14 and 65

Step-by-step explanation:

What are the vertices of the resulting image A'B'C'D'E' after rotating the figure 90° about the origin?​

Answers

Answer:

45

Step-by-step explanation: If you turn 90 counter clockwise ( aka divided by half ), the result would be 45.

9

What is the slope of the line in the graph?

Answers

Answer:

The slope of the line is 1

Step-by-step explanation:

The slop is 1 duee to my thinkiny

Please help 50 points!
Simplify the expressed

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x^{2} -x-12}{x+4} * \frac{2x^{2}-32 }{x^{2} -8x+16}[/tex]  rewrite as multiplication

[tex]\frac{x^{2} +3x-4x-12}{x+4} * \frac{2(x^{2}-16) }{x^{2} -8x+16}[/tex]  look to factor

[tex]\frac{x(x+3)-4(x+3)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex]  , difference of 2 squares and perfect square

[tex]\frac{(x+3)(x-4)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex], finish factoring and simplify

2(x+3)

(Please help this is due by Tuesday)

Answers

Answer:

A

Step-by-step explanation:

Suppose you roll a cube 30 times, what is a to describe the theoretical of rolling a 1, 4, 6, 7 Please help me!

Answers

Answer:

[tex]Pr(x) = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]n = 30[/tex] --- number of rolls

Required

The theoretical probability of rolling: (a) 1    (b) 4    (c) 6    (d) 7

Assume the cube is 6 sided.

The sample space is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

And the probability of each is:

[tex]Pr(x) = \frac{1}{6}[/tex]

Irrespective of the number of rolls, the theoretical probability of (a). (b), (c) and (d) is:

[tex]Pr(x) = \frac{1}{6}[/tex]

Match each power of a power expression with its simplified expression

Answers

(4)-

= 4⁰×-⁹

= 4⁰

(-4)²

= -4⁹ײ

= -4¹⁸

=( -4)¹⁸

(4-³)-³

= 4-³ × -³

= 4⁹

(4)-³

= 4⁶ × -³

= 4-¹⁸

= 1/4¹⁸

Ahmed made the model of the Financial Center at Sowwah Square for his school project. The height of the building model is 20 cm and the base one is 40cm and the base two is 35 cm. Ahmed is finding the area of the building model. What is its area?
PLSSS HELPP

Answers

Answer:

Area = 1500 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area= height ×(Base 1 +base 2)

Area = 20 × (40+35)

Area = 20×75

Area = 1500 [tex]cm^{2}[/tex]

Help me down below

PLEASE

Answers

Answer:

there is one more zero

Step-by-step explanation:

now it's 8 million rather than 800 thousand.

17/18 dived by 2/4 as a reduced fraction

Answers

Answer:

1 8/9

Step-by-step explanation:

Hope you enjoy :)

The length of the ladder that will run from the ground to the door of the tree house is nine feet. The plan recommends that the rungs of the ladder be spaced at 8-inch intervals. The first and last rung should be 6 inches from the respective ends. How many rungs will the tree house ladder have?

Answers

Answer:

13 Rungs

Step-by-step explanation:

According to the Question,

Given, The length of the ladder that will run from the ground to the door of the treehouse is 9 feet ( 9 × 12 = 108 inches).

The plan recommends that the rungs of the ladder be spaced at 8-inch intervals.

And, The first and last rung should be 6 inches from the respective ends.

Thus, the rungs Cover on 108 -(6+6) = 96 inches with 8-inch gaping between each rung.

Therefore, the Total Rungs on the treehouse ladders have (96/8)+1 ⇒ 13 Ladders.

aasaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

mjmdsfkjdsfjdfdjkfhdkfdkfdjhkjhfk

Step-by-step explanation:

dfjdbfjfshdgdsjhdh

Answer:

aasaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

hee haw i beat u i put more a's in my answer

4a. Solve the inequality 3(2x - 4) + 6 > 18 + 2x , for x*​

Answers

Answer:

x>6

Step-by-step explanation:

I know I’m not good at writing.

Need quick help with this math

Answers

Answer:

Eleanor and Harold

Step-by-step explanation:

The decimal [tex]0.13\overline{7}[/tex] consists of the sum of two terminating decimals and one non-terminating decimal:

[tex]0.13\overline{7}=0.1+0.03+0.00\overline{7}[/tex]

Therefore, we have:

[tex]0.13\overline{7}=\frac{1}{10}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{10}{100}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{13}{100}+\frac{7}{900}=\frac{117}{900}+\frac{7}{900}=\boxed{\frac{124}{900}}[/tex]

Hector's answer is equivalent but not simplified. However, they are both technically correct.

Both of them are correct in my opinion

wats the answer of 1 2/5 ÷14/15​

Answers

Answer:

2/5 ÷-14/15

2/5×-15/14

-3/7 is ur answer

Answer:

3/2 = 1  1/2 or 1.5

Step-by-step explanation:

1 2/5 ÷ 14/15

= 7/5 ÷ 14/15

= 7/5 × 15/14

= 3/2 = 1  1/2 or 1.5

what is an expression showing the sum of 5 less than the number k

Answers

Answer:

 5<k  

Step-by-step explanation:

Answer:

k-5

Step-by-step explanation:

So, lets go over each part of the sentence, and turn it into a expression.

So it first says sum. This means addition, so we can start our expression with:

+

Next is says of 5. So we know its the addition of 5:

+5

Next it says less than. So now we know less than, which is subtraction. So we can swap the addition sign for a - sign:

-5

Finally it says the number k. So we know that the subtracted value is k:

k-5

So this is your expression!

Hope this helps!

Dan rolls a fair dice and flips a fair coin what is the probability of obtaining an even number and a head

Answers

Half the numbers on the die are even so you have a 1/2 probability of getting an even number. There is also. 1/2 probability of getting heads on a coin flip.

To find the probability of both happening, multiply the probability of each together:

1/2 x 1/2 = 1/4

The probability of getting an even number and heads is 1/4

The answer is 1/4

Dan rolls a fair dice and flips a fair coin what is the probability of obtaining an even number and a head

Find the average of 40.6, 10, 0.7, and 120.02​

Answers

Answer:

42.83

Step-by-step explanation:

add all the numbers and divide by how many their are

The average is 42.83.

Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she scored 58 points, then she scores 63 and 68 on her next two assessments. If her scores continued to increase at the same rate, on which assessments will she be scoring above 85? Select all that apply. ​

Answers

Answer:

7th

Step-by-step explanation:

63 - 58 = 5

68-63 = 5

She is adding 5 points each time

a1 = 58

d = 5

a2 = 63

a3 = 68

a4 = 58+5 = 73

a5 = 73+5 = 78

a6 = 78+5 = 83

a7 = 83+5 = 88

This is the first assessment greater then 85, so the 7th assessment

B
20°
?
A
4.
С
( I need an answer )

Answers

Answer:

10.9899097

Step-by-step explanation:

Trigonometry.

Tan = opposite/adjacent

Adjacent = Opposite / Tan(20)

Other Questions
Which statement best describes the relationship between geography and the Shang Dynasty in China?AThe dynasty's major cities were developed in the Yellow River Valley.BThe dynasty's population centers developed in regions along the coast of China.CThe dynasty's armies were able to easily defend Chinese cities from attack.DThe dynasty's leaders established a kingdom that extended throughout Asia. What is one advantage of having many small cells instead of one large cell?A. Small cells do not have cell membranes.B. With many small cells, you have more surface area.C. With many small cells, you produce less protein.O D. Small cells do not require a stable internal environment. Theo quan im hin i khi tip cn chi ph cht lng, chi ph cht lng thp nht l khi when analyzing a speech, you should first_______ the speakers main________.A P E X What was important achievement of Mohandas Candho He guided the process ending the Cold War. B. He helped end decades of racist rute in South Africa. C. He forced France to recognize Algerian independence D. He led the violent Indian independence movement . Leila buys candy that costs 8 dollars per pound. She will spend more than 40 dollars on candy. What are the possible numbers of pounds she will buy? Which of the following is considered a negative consequence of advances inagriculture?A. Monoculture reduces biodiversityB. Population growthC. ObesityOD. Biodiversity increases risk of disease Glazing pottery can be tricky. The stunning results make the effort worthwhile.What should be included to best combine the sentences? hjkjggukjgkjgkkgkjkjgjggkjkgjkkgj what is "Closing the Circle" story by jhumpa lahiri about Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:What is the marginal relative frequency of survey participants who are girls?0.060.50.4317 Which quadrant is (4,-6) in?A) I.B) II.C) III.D) IV. Imagine in the future, you can live on land or underwater. Which one would you choose? Why? Write 120 words. How do people interact with each other, according to the speaker?AThey are all separated.BThey are all connected.They are unique and diverse.DThey lack individuality. A woman invested 4 times much at 4% as she did at 9%. The total amount of interest she earns in 1 year from both accounts is $500. How much did she invest at each rate? I am making two kinds of cookies: chocolate chip and lemon cookies.(a)Chocolate Chip CookiesIt takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?I can makebatches of chocolate chip cookies.You may use the scratchpad to show your work.(b) Lemon CookiesIt takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?I can makebatches of lemon cookies.You may use the scratchpad to show your workEnter your answer as a fractionUhh sorry to bother again Ive had no motivation havent been paying attention so uh yea If the distance between two objects is increased to four times the original distance.how will that increase change the force of attraction between the object Please help 10 points We sell __________ jewelry. describe nutrition in insect