Solve the system of equations by using substitution y= -8x-1 y=6x+6

Question

y=-8x-1

y=6x+6

Answer 1

We can substitute y in the second equation by -8x-1:

 

y = 6x + 6

-8x -1 = 6x +6

-1 -6 = 6x + 8x

-7 = 14x

-7/14 = x

-1/2 = x

 

This value of x can then be used to find y by substituting x by -1/2 in the first equation:

 

y = -8x - 1

y = -8(-1/2) -1

y = 4 -1

y  = 3

 

The solution of the linear system is (-1/2, 3).

 

Answer 2

Hi Mary,

-8x-1 = 6x+6

bring like terms together

 

-7 = 14x

x = -1/2