Question

Please help with steps??? Question: Find the solution for a system of equations by elimination

2x- 3y=6
5x +7y = -14

Answer 1

x = -84, y = -58

Explanation:

2x - 3y = 6 --- Equation 1

Equation 1×5: 10x - 15y = 30 --- Equation 2

5x + 7y = -14 --- Equation 3

Equation 3×2: 10x + 14y = -28 --- Equation 4

I will eliminate 10x.

Equation 4-2:

10x - 15y - 10x + 14y = 30-(-28)

-y = 30+28

= 58

y = -58

Substitute y =-58 into Equation 1.

2x - 3y = 6

2x - 3(-58) = 6

2x - (-174) = 6

2x + 174 = 6

Find 2x.

2x = 6-174

= -168

Find x.

x = -168 ÷ 2

x = -84