Solve the system of equations by substitution:

y = x - 2

x + y = 12

(7,5)

Step-by-step explanation:

A system of equations is 2 or more equations for which the same x, y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. Substitution can be used by substituting the value of one variable into the equation.

Because y=x-2, we can substitute x-2 into y in x+y=12.

x + (x-2) = 12

x+x-2=12

2x-2=12

2x-2+2=12+2

2x=14

x=7

We now substitute x=7 into y=x-2.

y = (7) - 2

y=5