Use substitution to solve the following system of equations.
x + 2y = 13
3x - 5y = 6

Answers

Answer 1

Answer:

{1} x + 2y = 13

{2} 3x - 5y = 6

x = 13 - 2y

substituting into {2}

3x -5y = 6

3( 13 - 2y) - 5y = 6

39 - 6y -5y = 6

-11y = 6 -39

y = -33 /-11

 ( minus and minus cuts in fraction, so the answer will come in positive)

y = 3

now , substituting into {1}

x + 2(3) = 13

x = 13 -6

x = 7

so,

the solution are:-

x = 7

y = 3

I hope this helps a little bit.


Related Questions

Y’all I need help on this question:) so if you could please help me I would appreciate it!!

Answers

Answer: [tex]\frac{1}{27}[/tex]

Step-by-step explanation:

Anything to the third power means it is multiplied by itself 3 times.

   --> [tex](\frac{1}{3})^{3} =(\frac{1}{3})(\frac{1}{3})(\frac{1}{3})=\frac{1}{27}[/tex]

Help! I just need someone to check if this answer is indeed correct, I believe it is, but I just would prefer having a second opinion!

Answers

Answer:

Step-by-step explanation:

Yes

Pratibha spends 5 3/4 hours in school. He spends 4 1/4 hours for classes and 3/4 hours for lunch break. She spends the remaining time on sports. How much time does she spend on sports?

Answers

Answer:

13 hours and 15 minutes of her day are spent on sports if she doesn't sleep.

Step-by-step explanation:

which are not the length of sides of a right​

Answers

Answer:

D.

Step-by-step explanation:

all numbers except d are pythagorean triples, hope this helps!!

I’m pretty sure it’s b

HELP PLS ILL MARK BRAINLIEST

Answers

The first answer (it makes the most sense)

Marion bought 14 packages of plastic frog and lizard fishing lures. She bought frog lures in
packages of 4 and lizard lures in packages of 6 for a total of 72 lures. How many of each lure did
Marion buy?
A. 6 lizards and 4 frogs
B. 4 lizards and 8 frogs
C. 48 lizards and 24 frogs
D. 24 lizards and 48 frogs

Answers

Answer:

C. 48 lizards and 24 frogs

Step-by-step explanation:

Let F = number of frog lures, and let L = number of lizard lures.

Marion bought 14 packages of plastic frog and lizard fishing lures.

She bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures.

F + L = 72

F/4 + L/6 = 14

12 * F/4 + 12 * L/6 = 12 * 14

         3F + 2L = 168

(+)      -3F - 3L = -216

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

                   -L = -48

L = 48

F + L = 72

F + 48 = 72

F = 24

Answer: C. 48 lizards and 24 frogs

HELP FAST THIS 6TH GRADE MATH!

Answers

Answer:

Fraction = 1/10

Decimal = 0.1

Step-by-step explanation:

If this is 6th grade, why did you put it under high school?(Just curious)

what is the mean of these four numbers 531, 804, 782, 647

Answers

Answer:

691

Step-by-step explanation:

If point H(-6, 2) is translated 4 units up and 3 units right, what are the
coordinates of the translated image?

Answers

Answer: H(-3 , 6)

X increase is horizontal

Y increase is vertical

The ryan family pays 1,347 per month for rent. If their rent doesn't change, how much will they pay in dollars for rent over 30 years

Answers

Answer: 4,84,920

Step-by-step explanation:

Given

The rent per month is 1347

for a year it is 12 months

for 30 years it is [tex]30\times 12=360\ \text{months}[/tex]

Rent for 30 years it is

[tex]\Rightarrow \text{rent}=1347\times 360=484,920[/tex]

Please help.
Four players from the NBA and their career 3-point percentage are listed below. 3-point percentage is calculated by dividing the number of 3-pointers the player makes by the number of 3-pointers he attempts. If Steph Curry attempted 25 3-pointers in his last game, how many can we assume he made?

Answers

Answer:

We can assume that the number of 3-pointers he made in his last game was 10 3-pointers

Step-by-step explanation:

In the question, we have;

The 3-point percentage rate for Stephen Curry = 43.5 successful made out of 100 attempts

The 3-point percentage rate for LeBron James = 34.5 successful made out of 100 attempts

The 3-point percentage rate for James Harden = 36.4 successful made out of 100 attempts

Whereby Steph Curry attempted 25 3-pointers in the last game he played and where 'x' represents the number of 3-pointers we can assume he made, we have;

x = 43.5% of 25

[tex]\therefore x = \dfrac{43.5}{100} \times 25 = 10.875[/tex]

Given that 'x' can only have whole number values, and the 3-point percentage is calculated using a larger number of attempts than 25, we can assume he made 10 3-pointers in his last game

The 3-pointers the Stephen Curry made in last game is 10, if he attempted 25 3-pointers.

It is given that the four players from the NBA and their career 3-point percentages are listed below in the table

It is required to find the number of 3 pointers he made if Steph Curry attempted 25 3-pointers in his last game.

What is percentage?

It is defined as the ratio or number presented as fraction of 100, the symbol of percentage is %.

We have in the question that:

The 3-point percentage rate for Stephen Curry is 43.5% out of 100 attempts.

We know that,

[tex]\rm 3-point \ percentage = \frac{Number \ of \ 3-pointers}{Number \ of \ 3-pointers \ attempts} \\[/tex]

3 - point percentage for Stephen Curry = 43.5%

Number of 3-pointers he attempts = 25

Putting these values in the above formula, we get:

[tex]\rm 43.5 \%=\frac{Number \ of \ 3-pointers}{25} \\\\\rm \frac{43.5}{100} \times25 = Number \ of \ 3-pointers\\\\\rm Or \ number \ of \ 3-pointers = 10.875[/tex]

But the number of 3-pointers can be a whole number, so we can assume that the 3-pointers is 10.

Thus, the 3-pointers the Stephen Curry made in last game is 10, if he attempted 25 3-pointers.

Learn more about three pointer here:

https://brainly.com/question/519034

Would sinA 15/17 be corrrect?

Answers

Answer:

yes

Step-by-step explanation:

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{15}{17}[/tex]

dandy was born 6 years before nuel.in 2000,dandy's age was 2 years more than four times the age of nuel in 1995.how old will nuel be in 2020

Answers

Answer:

nuel be 25 years old in 2020

What is the following number in standard notation?
3.27 • 10 to the power of 5

Answers

[tex]3.27*10^{5}=327000[/tex]

Problem to solve:
b) The Smith family has five members. They go to the beach for a day. Each member has a small towel and a
beach towel. How many towels did they bring to the beach?

Answers

Answer:

25 towels hahha

Step-by-step explanation:

the plane of a room is shown in the picture. the scale is 2 inches: 6 feet. what is the actual length of the room?
what is the actual width of the room? what is the actual area of the room?

Answers

Since 2 inches = 6 ft and length of room in the place = 7 inches,

(2x3.5) inches = 6x3.5 ft

7 inches = 21ft

Actual Length of Room = 21 ft.

Width of Room in plane = 3 inches

(2x1.5) inches = 6 x 1.5 ft

= 9 ft

Actual Length of Rook = 9 ft.

Actual Area of Room = Actual Length of Room x Actual Width of Room = 21 x 9 = 189 ft^2

Find 2.64 / 0.6 step by step

Answers

Answer: 4.6

Step-by-step explanation:

The Garcia’s bought a washing machine for $435 and a clothes dryer for $395 bath prices include tax to deliver these items the store charges $10 plus $2 per mile if the Garcia’s live 15 miles from th store what is their total bill?

Answers

Answer:

870

Step-by-step explanation:

$435 + $395 = $830

$830 + $10 = $840

$2 x 15 = $30

$840 + $30 = $870

3:10 how many ways can you do it answer choices answer all fraction and decimals DONT PUT FILES I CANNOT CLICK THEM!!!!

Answers

Answer:whats the question

Explanation:(pls dont report me as soon as u tell me the question i will edit my answer and answer correctly)

Answer:

3/10, 6/20, 9/30, 12/40, 15/50, 18/60, 21/70, 24/80, 27/90, 30/100, 33/110, 36/120, 39/130, 42/140, 45/150, 48/160, 51/170, 54/180, 57/190, 60/200, 0.3

Step-by-step explanation:

Shannon wants to buy some muffins and a greeting card for her friend's party. A local grocery store sells muffins for $2.75 each and greeting cards for $2.00.
If Shannon buys 12 muffins and 1 card, how much money does she spend at the grocery store?

A. $57.00
В. $33.00
C. $35.00
D. $26.75

Answers

Answer:

$35

Step-by-step explanation:

jus trust

2+y+y+y+y+y+3 I need multiple answers plz and thanks

Answers

Answer:

5y + 5

5(y + 1)

Step-by-step explanation:

2+y+y+y+y+y+3 = 5y + 5 = 5(y + 1)

Answer:

5(1+у)

Step-by-step explanation:

2+3+у+у+у+у+у= 5+5у=5(1+у)

A comapny's stock was selling 16$ a share. A month later it was selling at 20$ a share. What is the percentage gain?

Answers

Answer: 25%

Step-by-step explanation:

Given

Initial Cost of share [tex]C.P.=16\$[/tex]

After a month, its selling price is [tex]S.P.=20\$\ \text{per share}[/tex]

The gain percentage is given by

[tex]\Rightarrow \text{Gain }\ \%=\dfrac{\text{S.P.-C.P.}}{\text{C.P.}}\times 100[/tex]

[tex]\Rightarrow \text{Gain}\ \%=\dfrac{20-16}{16}\times 100=25\%[/tex]

There are 40 students in The class. Nine of those students are girls. What is the number of boys in the class ?

Answers

Answer:

31 students

Step-by-step explanation:

can somebody please solve for x and y, if you get the answers correct I'll give you extra points ​

Answers

Answer:

1) x = 18 2) x = 7

Step-by-step explanation:

Edit: Decided to solve the second too! :)

1)

12/16 = x/(x+6)

12x + 72 = 16x

72 = 4x

x = 18

2)

(-4 + 4x)/64 = 27/72

-288 + 288x = 1,728

288x = 2,016

x = 7

Which could be the measures of the interior angles of a triangle?

A. 50°, 45°, 45°

B. 60°, 60°, 60°

C. 70°, 70°, 70°

D. 80°, 55°, 25°

Answers

Answer:

B. 60°, 60°, 60°

Step-by-step explanation:

All triangle angles add up to 180

A) NOPE

50 + 45 + 45 = 140

B) YUP

60 + 60 + 60 = 180

C) NOPE

70 + 70 + 70 = 210

D) NOPE

80 + 55 + 25 = 160

Kaylee drove her scooter at an average speed of 15 miles per hour. Sophia drove her scooter at an average speed of 10 miles per hour. They drove a total of 60 miles in 5 hours. This situation can be represented with the system x+y=5 and 15x+10y=60 , where x represents the number of hours Kaylee drove her scooter and y represents the number of hours Sophia drove her scooter. Solve the system of equations by graphing. Graph both equations on the coordinate plane even if they represent the same line.

Answers

Answer:

Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.

Step-by-step explanation:

From the graph shown below, we can see that the intersection point is (2,3). When using the graphing method to solve a system of equations, the intersection point is the answer. In this case, x = 2 and y = 3.

Thus, Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.

Kaylee drove her scooter for 2 hour and Sophia drove her scooter for 3 hours.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that Kaylee drove her scooter at an average speed of 15 miles per hour. Sophia drove her scooter at an average speed of 10 miles per hour.

This can be represented with the system x+y=5 and 15x+10y=60 , where x represents the number of hours Kaylee drove her scooter and y represents the number of hours Sophia drove her scooter.

From the graph shown, we can see that the intersection point is (2,3).

When using the graphing method to solve a system of equations, the intersection point is the answer.

In this case, x = 2 and y = 3.

Thus, Kaylee drove her scooter for 2 hour and Sophia drove her scooter for 3 hours.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

A school is planning to construct two rectangular play areas in the playground.
The length of play area A must be 1 foot longer than four times its width. The width of play area B must be 2 feet longer than the width of play
area A, and the length must be 2 feet longer than three times its own width. In
addition, the areas of the two play areas must be equal.
Write a system of equations to represent this situation, where y is the area of the play areas and x is the width of play area A. Which statement
describes the number and viability of the system's solutions?
ОА.
The system has two solutions, but only one is viable because the other results in a negative width.
B.
The system has only one solution, and it is viable because it results in a positive width.
c. The system has two solutions, and both are viable because they result in positive widths.
d. The system has only one solution, but it is not viable because it results in a negative width.

NEED THE ANSWER ASAP

Answers

Answer:

A.

Step-by-step explanation:

I took the test on Edmentum/Plato and that was the answer.

Answer:

A. The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970 y en 2001 se incrementó 2,25 veces en relación a 1988. ¿Cuántos habitantes había en el año 2001?

Answers

Answer:

En 2001 el pueblo poseía 45.826 habitantes.

Step-by-step explanation:

Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970. Para calcular entonces la población en 1988 debes realizar el siguiente cálculo:

13.578*1,5= 20.367

Por lo que en 1988 el pueblo poseía 20.367 habitantes.

En 2001 se incrementó la población 2,25 veces en relación a 1988. Para calcular entonces la población en 2001 debes realizar el siguiente cálculo:

20.367* 2,25= 45.825,75≅ 45.826

Por lo que en 2001 el pueblo poseía 45.826 habitantes.

May someone please help me with this :)

Answers

14 + 3 = 17 yd that is your answer I used Pythagorean theorem

Answer:

14.3 yd

Step-by-step explanation:

apply the pythagorean Theorem formula:

= sqrt(14^2 +3^2)

= sqrt(205)

roughly 14.3 yd

Which best describes the polynomial
7xy - 15y3?
A monomial with a degree of 2
B binomial with a degree of 3
C binomial with a degree of 7
D trinomial with a degree of 2

Answers

Answer:

it is option binomial with degree 3

hope it helps

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