Question

-7x-2y=-13
-3x-2y=-12 by substitution

Answer 1

Answer: x = 0.25, y = 5.625 or (
`(1)/(4)`,
`(45)/(8)`)

Explanation:

To solve by substitution, we will first isolate one of the variables in one of the given equations.

-7x - 2y = -13 ➜ y = -3.5x + 6.5

Then, we will substitute this into the other given equation and solve for x.

-3x - 2y = -12

-3x - 2(-3.5x + 6.5) = -12

-3x + 7x - 13 = -12

4x = 1

x = 0.25

Lastly, we will substitute this value of x into the equation we solved for to find y.

y = -3.5x + 6.5

y = -3.5(0.25) + 6.5

y = 5.625