Identify the type of solution for the following system of equations. y = 3x + 8
y = -7 + 3x
infinitely many solutions, no solution, one solution

No solution

Step 1: Choose which method you would like to use to solve

Though we can solve using either substitution or elimination, we will use substitution for this one

Step 2: Substitute y for y

-7+3x=3x+8

Step 3: Subtract 3x on both sides

-7+3x=3x+8
-3x=-3x

-7=8

Though we would usually use the x value to solve for y, in this case the x values canceled each other out. We are now left with 2 numbers set equal to each other, and this equation is false. Since -7 does not equal 8, the system of equation have no solution.

Hope this helps comment below for more questions :)