2x + 3y = 15
x + y = 6
work out the values of x and y.

2x +3y+x+y=15+6

3x+4y=21

x = 3, y = 3

Step-by-step explanation:

2x + 3y = 15 → (1)

x + y = 6 → (2)

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

- 2x - 2y = - 12 → (3)

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

y = 3

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

Substituting into (1)

2x + 3(3) = 15

2x + 9 = 15 ( subtract 9 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Then x = 3 and y = 3

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step-by-step explanation:

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