Question

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Answer 1

Answer:

(4, 6 )

Step-by-step explanation:

Given the 2 equations

3x + 4y = 36 → (1)

y = - $\frac{1}{2}$ x + 8 → (2)

Substitute y = - $\frac{1}{2}$ x + 8 into (2)

3x + 4(- $\frac{1}{2}$ 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 = - $\frac{1}{2}$ × 4 + 8 = - 2 + 8 = 6

solution is (4, 6 )