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I need help i dont understand this​

I need help i dont understand this​-example-1

1 Answer

1 vote

Answer:

D

Explanation:

Given the 2 equations

4x + 8y = 21 → (1)

y = -
(1)/(2) x + 3 → (2)

Substitute y = -
(1)/(2) x + 3 into (1)

4x + 8(-
(1)/(2) x + 3 ) = 21 ← distribute parenthesis on left side

4x - 4x + 24 = 21 ( subtract 24 from both sides )

0 = - 3 ← not possible

This indicates the system has no solutions