Mathematics High School

Solve using any method. All work must be shown and handwritten.
3x-y=-10
x+y=-2
show how it is solved please <3

Answers

Answer 1

Answer:

[tex]x = - 3[/tex]

[tex]y = 1[/tex]

Step-by-step explanation:

Write the system

[tex]3x - y = - 10[/tex]

[tex]x + y = - 2[/tex]

Solve by Elimination.

multiply the second equation by -3.

[tex]3x - y = - 10[/tex]

[tex] -3x - 3y = 6[/tex]

Add the Equations.

[tex] - 4y = - 4[/tex]

[tex]y = 1[/tex]

Plug this back in one of the equations.

[tex]x + 1 = - 2[/tex]

[tex]x = - 3[/tex]

Answer 2

Answer:

x = -3

y = 1

Step-by-step explanation:

3x - y = -10

x + y = - 2

x + y = - 2

x = -y - 2

replacing in other equation

3(-y - 2) - y = -10

-3y - 6 - y = - 10

rearranging the equation

-3y - y = = -10 + 6

-4y = -4

y = 1

putting this value in first eqn we get

x - y = -2

x - (1) = -2

x = -2-1

x = -3

Related Questions

Lauren bought snacks for her team's practice. She bought a bag of popcorn for $2.37 and a 6-pack of juice bottles. The total cost before tax was $15.45. How much was each bottle of juice?

Answers

Answer:

$2.18

$15.45-$2.37=$13.08

$13.08/6

$2.18

put the following equation of a line into slope intercept form simplifying all fractions 5x + 2y = -6 ​

Answers

Answer:

The general equation of a slope-intercept form is as below;

[tex]y = mx + c[/tex]

m » slope / gradient

c » y - intercept

x » x - intercept

Since our equation is 5x + 2y = -6, make y the subject:

[tex]5x + 2y = - 6 [/tex]

subtract 5x from either sides:

[tex](5x + 2y) - 5x = - 6 - 5x \\ 2y = - 5x - 6[/tex]

apply the division rule of equality:

[tex] \frac{2y}{2} = \frac{ - 5x}{2} - \frac{6}{2} \\ \\ { \boxed{ \boxed{answer : \: y = - \frac{5}{2} x - 3}}}[/tex]

slope » -5/2

y - intetcept » -3

[tex]\sqrt{9x^2[/tex]

Answers

Answer:

3x

Step-by-step explanation:

[tex] \sqrt{9 {x}^{2} } [/tex]

[tex] \sqrt{9} \sqrt{ {x}^{2} } [/tex]

[tex] \sqrt{ {3}^{2} } \sqrt{ {x}^{2} } [/tex]

[tex] \sqrt{ {3}^{2} } x[/tex]

[tex] = 3x[/tex]

Evaluate the expression x^2 - y^2, if x = -3, and y= 2

Answers

[tex]\\ \rm\longmapsto x^2-y^2[/tex]

[tex]\\ \rm\longmapsto (-3)^2-(2)^2[/tex]

[tex]\\ \rm\longmapsto 9-4[/tex]

[tex]\\ \rm\longmapsto 5[/tex]


A group of 20 people are going to run a race. The top 6 finishers advance to the finals. In how many different ways can they advance?

Answers

167960 is your awnser

What is 10% of a number whose square
is 81

Answers

Answer: 0.9

Step-by-step explanation:

Let x be the number

Determine the value of the number

x² = 81

√x² = √81

x = 9

Find the 10% of the number

Final number = rate of percentage × original number

Final number = 10% × 9

Final number = [tex]\boxed{0.9}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

where does 0.5 goes on a real number line​

Answers

5 points after 0, and in between 0 and 1 in the middle

The price of Pepsi stock was $0.65 in 1981 and $27.56 in 2011. What was the average rate of change for the stock per year
from 1981 to 2011 rounded to the nearest hundredth?

Answers

0.65 at year 0 (0, 0.65)
27.56 at year 30 (30, 27.56)

slope = (27.56 - 0.65) / (30 - 0)
slope = 26.91 / 30

Change = 0.897 or almost 90 cents

hey please help i’ll give brain

Answers

Answer:

[tex]7 \times 6 = 5 \: sixes + 2 \: sixes \\ 7 \times 6 = 30 + 12 \\ = 42 \\ \\ thank \: you[/tex]

Hi ;-)

[tex]7\cdot6=5 \ \text{sixes}+\boxed2 \ \text{sixes}\\\\=\boxed{30}+12\\\\=\boxed{42}[/tex]

A scale drawing of a school bus has a scale of 1/2 inch to 5feet. If the length of the school bus is 4 1/2 inches on the scale drawing. What is the actual length of the bus? Explain or show your reasoning.

Answers

Answer: actual length = 45 ft

Explanation:

Scale drawn:

1/2 inch = 5ft

Meaning that if the drawing scale is 0.5 inch then the actual bus would be 5ft.

If the length of the drawn school bus is 4 1/2 inches. We can write:

1/2 = 5
4 1/2 = x

=> x = (5 x 4 1/2)/1/2
Or x = (5 x 4.5)/0.5
x = 22.5/0.5
x = 45

Therefore the actual length of the bus is 45 ft

Carla bought a crate of red and green apples for her bakery. The crate had 140 red apples, which were 40% of the apples in the crate. How many apples were in the crate?

Answers

Answer:

350

Step-by-step explanation:

Do 140/0.4=350

Answer:

350 apples

Step-by-step explanation:

a = total number of apples in the crate

a* 40% = number of red apples

a * .40 = 140

Divide each side by .40

a * .40/.40 = 140/.40

a =350

3 attempts remaining.
150 moths lived in a lab. Each week, some moths died, and about 1/5 survived . How many moths were still alive after 2 weeks?

Answers

6 moths were alive
To find the # of moths that survived the first week, you do 150 / 5 and you get 30. Do the same thing again with 30 and you get 6

y-3 = 2(x+1)
fiind the missing value ?

Answers

Step by step process:

Let's solve for x.

y−3=2(x+1)

Step 1: Flip the equation.

2x+2=y−3

Step 2: Add -2 to both sides.

2x+2+−2=y−3+−2

2x=y−5

Step 3: Divide both sides by 2.

2x/2=y−5/2

x=1/2y+(−5/2)

Answer: x=1/2y+(−5/2)

Let's solve for y.

y−3=2(x+1)

Step 1: Add 3 to both sides.

y−3+3=2x+2+3

y=2x+5

Answer:

y=2x+5

Please help me I’ll give a brainliest! Even if you are only able to do one of them it help because I don’t understand how to do it!!!

Answers

Answer:

The x which is not in the domain of the function is the root of the denominator

6) x+3=0, x=-3 is the x which is not in the domain of the function

7) |2x+5|=0, x=-5/2 is the x which is not in the domain of the function

8) x^2-16=0, x=±4 are the x which are not in the domain of the function

HELPPPPPP MEEEE PLESDEEEE

Answers

Answer:

7, 5, 1, 3

Step-by-step explanation:

Hope this Helps!

Please mark me Brainliest

Which variable is dependent temperature or time of day? Which variable is independent?​

Answers

Answer:

 The temperature depends on the time.

The independent variable is the variable the experimenter manipulates or changes.

Hope it helps you.

) Kim made $157.50
for 7 hours of
babysitting. What is
her hourly pay?

Answers

Answer:

$22.50 I believe...

Step-by-step explanation:

157.50 divided by 7

??

Answer:

$22.50 per hour

Step-by-step explanation:

157.50 = 7x

157.50 / 7 = 22.5

22.5/hour

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Use the distributive property to write an equivalent expression.
8(3v+3w-2)

Answers

24v+24w-16
I multiplied all the numbers inside the parenthesis to 8, so (8 x 3w),(8 x 3v),(8 x -2). Basically Distrbutive property is you distribute the 8 into the numbers inside the parenthesis and by distribute you just multiply. Lemme know if this is the answer you were looking for!

Answer:

8(3v+3w-2)=(8×3v+8×3w-8×2)

Step-by-step explanation:

8×3v=24v.

8×3w=24w. [24v+24w-16]=(8×3v+8×3w-2×8)

8×(-2)=-16.

Need help ASAP pls thx

Answers

Answer:

the correct answer is 60 :)

[tex]\\ \sf\longmapsto RElative\:Frequency(Green)[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{14+18+28}[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{60}[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{7}{15}=0.46[/tex]

WILL GIVE BRAINLIEST TO WHOEVER CAN SHOW THEIR WORK:

.8900mm to km

Answers

Answer:

0.0089

Step-by-step explanation:

i dont know how to show my work i did it online, pls give me brainliest :(

Fun Fact: Octopuses lay 56,000 eggs at a time

Which of the following sets contains multiples of six?

{1, 6}

{2, 3}

{4, 9}

{12, 18}

Answers

D, because it is the only one that contains multiples. All others contain factors.

If you have any doubts plz let me know.

Whats the answer and the steps
2(3x-4)

Answers

Answer:

-24

Step-by-step explanation:

2(3x-4)

6x-8

Find the equation of the line that contains the point (1,-5) and has a slope that is undefined. Express the equation using either the general form or the slope-intercept form of the equation of a line.
The equation of the line is

Answers

Answer:

x=1

Step-by-step explanation:

Since the slope is undefined, it's of the form x=a and since it passes through (1,-5) the equation is x=1

The equation of the vertical line in slope-intercept form is: x = 1.

What is the Equation of a Vertical Line?

A vertical line has an undefined slope and therefore has no y-intercept. the equation of a vertical line is therefore expressed as, x = a, where a is the x-intercept, which is the value of x of the point where the vertical line intersects the x-axis..

Given the point (1, -5), since the line has an undefined slope, the equation in slope-intercept form would be: x = 1.

Learn more about equation of a vertical line on:

https://brainly.com/question/9050446

#SPJ6

NEED ASAP DUE IN 1 HOUR

Answers

10. As 8x = 2x + 60. So x =10
Answer: 10

Explanation:
As 8x=2x+60
x=10

integers: 11×11÷[-11÷{12-(13-12)}]​

Answers

Answer:

121+11 divided 37

hope this helped:)

Answer:

-121

Step-by-step explanation:

You can plug it in to a calculator, or use pemdas: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

write each expression as a single power of 10
​

Answers

Answer:

[tex]{ \underline{ \sf{it \: is \: {10}^{9} }}}[/tex]

Step-by-step explanation:

[tex](10 {}^{4} ). \frac{ {10}^{12} }{ {10}^{7} } = ( {10}^{4} ). {10}^{(12 - 7)} \\ \\ = ( {10}^{4} ). {10}^{5} \\ = {10}^{(4 + 5)} \\ = {10}^{9} [/tex]

Answer:

[tex]10^{9}[/tex]

Step-by-step explanation:

I. [tex]10^{4} * 10^{12-7}[/tex]

= [tex]10^{4} * 10^{5}[/tex]

= [tex]10^{4 + 5}[/tex]

= [tex]10^{9}[/tex]

PLEASE HELP! it's due today

Answers

Answer:

[tex]thank \: you[/tex]

Factoring binomials with the difference of squares

Answers

Answer:

Step-by-step explanation:

Which fraction on number lin is equal to 3

Answers

Answer:

12/4

Step-by-step explanation:

12/4

= 3/1

= 3

So, 12/4 = 3

i need helpppp Blake and josh are both saving money for a new bike, the ratio of blake saving 3:1 if they have saved 400$ how much has each boy saved

Answers

Answer:

Blake = $300

Josh = $100

Step-by-step explanation:

3:1

3(00) / 1(00)

300   /   100

Chow,...!

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