Solve the system using elimination and describe your steps. x = y – 3
2x + y = 12

(3, 6 )

Step-by-step explanation:

Given the 2 equations

x = y - 3 → (1)

2x + y = 12 → (2)

In equation (1) subtract y from both sides

x - y = - 3 → (3)

Add (2) and (3) term by term to eliminate y

(2x + x) + (y - y) = (12 - 3), that is

3x = 9 ( divide both sides by 3 )

x = 3

Substitute x = 3 into (2) and solve for y

(2 × 3) + y = 12

6 + y = 12 ( subtract 6 from both sides )

y = 6

Solution is (3, 6 )

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