Question

Determine the solution to each linear system by using the substitution method

y=4x+2
y=3x-2

Answer 1

The solution is x = -4

Explanation:

y=4x+2
we can see here that y equals 4x+2

y =3x-2

The y here is the same y, therefore we ban subtitute the first equation into the second one, like this:

y =3x-2

4x+2 = 3x-2

now just solve it algebraically.

4x + 2 - 3x = 3x -2 -3x

x +2 -2 = -2 -2

x = -4

The solution is x = -4