Question
Solve for tt and simplify your answer.
17, equals, minus, start fraction, 3, divided by, 2, end fraction, t
17=
−
2
3
t
17, equals, minus, start fraction, 3, divided by, 2, end fraction, t
17=
−
2
3
t
Answers
GPT-4o mini
To solve the equation
\[
17 = -\frac{3}{2} t,
\]
we can isolate \( t \) by first multiplying both sides of the equation by the reciprocal of \(-\frac{3}{2}\). The reciprocal of \(-\frac{3}{2}\) is \(-\frac{2}{3}\).
Now, multiply both sides by \(-\frac{2}{3}\):
\[
t = 17 \cdot \left(-\frac{2}{3}\right).
\]
Calculating the right-hand side:
\[
t = -\frac{34}{3}.
\]
Thus, the simplified answer is:
\[
t = -\frac{34}{3}.
\]
\[
17 = -\frac{3}{2} t,
\]
we can isolate \( t \) by first multiplying both sides of the equation by the reciprocal of \(-\frac{3}{2}\). The reciprocal of \(-\frac{3}{2}\) is \(-\frac{2}{3}\).
Now, multiply both sides by \(-\frac{2}{3}\):
\[
t = 17 \cdot \left(-\frac{2}{3}\right).
\]
Calculating the right-hand side:
\[
t = -\frac{34}{3}.
\]
Thus, the simplified answer is:
\[
t = -\frac{34}{3}.
\]