All categories

2 years ago

Solve the systems of equations by substitution. 2x+y=-2 3x-y=7

Mathematics

1 answer:

lukranit [14]2 years ago

5 0

Answer:

To solve the system of equations by substitution:

first solve for y:

2x+y=-2

y=-2x-2

Then plug ^^ equation for y in the other equation

3x-(-2x-2)=7

5x+2=7

5x=5

x=1

Then solve for y:

2(1)+y=-2

y=-4

Final answer is x = 1 and y = -4

Hope it helps!

You might be interested in

Determine whether the pair of equations represent parallel lines, perpendicular lines, or neither.

Ivahew [28]

Answer:

Parallel

Step-by-step explanation:

Parallel lines have the same slope but different y-intercepts. If you multiply the top equation by 2, you get:

2(12x + 4y = 16)

24x + 8y = 32

This shows that both lines have the same slope, but then you find the y-intercepts, they are different:

1st equation y-int = 4

2nd equation y-int = 9/2 or 4.5

6 0

3 years ago

Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of \$10$10dollar

lesya692 [45]

So to get the answer you do 100100100+303030-101010 which = 100302120 x 10 (the amount she/he gets for each subscriber) which is the amount of money Kiersten earned.

Hope this helped

4 0

3 years ago

Kevin Hill deposited 15,483 pennies. He put 50 pennies in each penny roll. How many full rolls did he have?

Flauer [41]

Answer:

309 full rolls

Step-by-step explanation:

Find how many full rolls he had by dividing 15,483 by 50:

15,483/50

= 309.66

Since the question asks for full rolls, the answer has to be a full number.

So, the answer is 309 full rolls

3 0

3 years ago

Can anyone help me out with this question please

Rus_ich [418]

The standard deviation is 1, I believe...

8 0

3 years ago

A hot air balloon holds 1,592 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic

yuradex [85]

Answer: 285.2 kg

Step-by-step explanation:

Given

The volume of helium in the balloon is $V=1592\ m^3$

The density of the helium is $\rho =0.1785\ kg/m^3$

Mass of the helium gas is given by the product of density and volume

$\Rightarrow M=\rho \cdot V\\\Rightarrow M=0.1785\times 1592\\\Rightarrow M=285.2\ kg$

Thus, the mass of gas is 285.2 kg

3 0

2 years ago