Solve the system of equations by using the substitution method.

Question

2x-5y=8

4x+y=-6

Answer 1

2x -5y = 8

 

4x + y = -6   ------>y = -4x - 6

 

substitute value of y above to top equation:

 

2x - 5(-4x - 6) = 8

 

2x + 20x + 30 = 8

 

22x = 8 - 30

 

22x = -22

 

x = -1

 

let's use 4x + y = -6 to solve for y:

 

4(-1) + y = -6

 

-4 + y = -6

 

y = -6 + 4 = -2

 

x = -1, y = -2