QuestionAugust 25, 2025

2. Find the value(s) of t: 5vert t+2vert =35

2. Find the value(s) of t: 5vert t+2vert =35
2. Find the value(s) of t: 5vert t+2vert =35

Solution
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Answer

t = 5, -9 Explanation 1. Divide both sides by 5 Divide the equation 5\vert t+2\vert =35 by 5 to isolate the absolute value: \vert t+2\vert =7. 2. Solve for positive case Set t+2=7 and solve: t=7-2=5. 3. Solve for negative case Set t+2=-7 and solve: t=-7-2=-9.

Explanation

1. Divide both sides by 5<br /> Divide the equation $5\vert t+2\vert =35$ by 5 to isolate the absolute value: $\vert t+2\vert =7$.<br />2. Solve for positive case<br /> Set $t+2=7$ and solve: $t=7-2=5$.<br />3. Solve for negative case<br /> Set $t+2=-7$ and solve: $t=-7-2=-9$.
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