Question

6x - 2y = -22
х+4y = -8

Answer 1

x = -4 y = -1

Explanation:

Solve for each variable by creating an equation and plugging it in to the other given equation.

- Equation to solve for x: x = -4y - 8

- Plug this equation into the other, solving for y so you have:

6(-4y-8)- 2y = -22 => -24y - 48 - 2y = -22 => -26y = 26 => y = -1

- Take this value and plug into the equation we created for x:

x = -4(-1) - 8 => x = 4 -8 => x = -4

- Check your work with given equation 6x -2y = 22:

6(-4) - 2(-1) = -22 => -24 +2 = -22 => -22 = -22

Answer 2

x = -4 y = -1

Explanation:

x + 4y = -8

4y = -x - 8

y = -1/4x - 2

6x - 2(-1/4x - 2) = -22

6x + 1/2x + 4 = -22

13/2x + 4 = -22

13/2x = -26

x = -4

(-4) + 4y = -8

-4 + 4y = -8

4y = -4

y = -1