Solve the system of equations below.
(x+y=21
2x = 33+ y

(18, 3 )

Step-by-step explanation:

Given the 2 equations

x + y = 21 → (1)

2x = 33 + y → (2)

Rearrange (2) expressing y in terms of x by subtracting 33 from both sides

y = 2x - 33 → (3)

Substitute y = 2x - 33 into (1)

x + 2x - 33 = 21, that is

3x - 33 = 21 ( add 33 to both sides )

3x = 54 ( divide both sides by 3 )

x = 18

Substitute x = 18 into (3) for corresponding value of y

y = (2 × 18) - 33 = 36 - 33 = 3

Solution is (18, 3 )

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step-by-step explanation:

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