Question

3x+3y=18 x+2y=9 find x and y​

Answer 1

x = 3 , y = 3

Explanation:

• 3x + 3y = 18 -- (1)
• x + 2y = 9 --(2)

Dividing (1) by 3 : x + y = 6 --(3)

x = 6 - y --(3)'

Substituting (3)' into (2),

(6 - y) + 2y = 9

6 - y + 2y = 9

y = 3 -- (4)

Substituting (4) into (3),

x + 3 = 6

x = 3 -- (5)

According to (4) and (5),

x = 3 , y = 3

Answer 2

x = 3, y = 3

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