Question

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Answer 1

(4, 6 )

Explanation:

Given the 2 equations

3x + 4y = 36 → (1)

y = -
`(1)/(2)` x + 8 → (2)

Substitute y = -
`(1)/(2)` x + 8 into (2)

3x + 4(-
`(1)/(2)` x + 8) = 36 ← distribute and simplify left side

3x - 2x + 32 = 36

x + 32 = 36 ( subtract 32 from both sides )

x = 4

Substitute x = 4 into (2) for corresponding value of y

y = -
`(1)/(2)` × 4 + 8 = - 2 + 8 = 6

solution is (4, 6 )