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5(y + 4) = -3y - 8 + 8y
What mistake did Jared make if this equation actually has no solution?

User Rafalmp
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1 Answer

3 votes

Final answer:

Jared made a mistake when he added 8 and 8y on the right side of the equation. We reach a contradiction with the given equation, which means it has no solution.

Step-by-step explanation:

Jared made a mistake when he added 8 and 8y on the right side of the equation. He should have subtracted 8y from 8 instead. Let's solve the equation step-by-step:

5(y + 4) = -3y - 8 + 8y
5y + 20 = 5y - 8
20 = -8

Since we have reached an equation that is not true (20 = -8), it means that there is no solution to the given equation. Jared's mistake in the equation led to a contradiction, which is why it has no solution.

User Ashokgelal
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8.1k points