show me how to solve this

y=x+3

−4x+4y=28

1 answer

To solve these equations, we can use the substitution method.

First, we can solve the first equation, which is y = x + 3, for x.

x = y - 3

Next, we substitute this expression for x in the second equation, −4x + 4y = 28.

-4(y - 3) + 4y = 28

Simplifying, we get:

-4y + 12 + 4y = 28

The -4y and 4y terms cancel out, leaving us with:

12 = 28

This equation is not true, meaning that there is no solution to this system of equations. The two lines represented by these equations are parallel and will never intersect.