How many solutions does the system of equations below have?

y = x-3

3y-3x = - 9

solutions does the system of equations below have?

It has one solution

Step-by-step explanation:

y = x-3 equation 1

3y-3x = - 9 equation 2

Substitute x - 3 in place of y in equation 2.

We have

3 (x-3) - 3x = - 9

Distribute

3 x x 3x-3 - 3x = - 9

3x - 9 - 3x = - 9

It can also be written as

3x - 3x - 9 = - 9

Add nine to both sides

3x - 3x - 9 + 9 = - 9 + 9

0 + 0 = 0

0