3x+3y=18 x+2y=9 find x and y​

x = 3, y = 3

Step-by-step explanation:

Given the 2 equations

3x + 3y = 18 → (1)

x + 2y = 9 → (2)

Multiplying (2) by - 3 and adding the result to (1) will eliminate the x- term

- 3x - 6y = - 27 → (3)

Add (1) and (3) term by term to eliminate x

0 - 3y = - 9

- 3y = - 9 ( divide both sides by - 3 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (2)

x + 2(3) = 9

x + 6 = 9 ( subtract 6 from both sides )

x = 3

solution is x = 3, y = 3

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