Solve for xx and simplify your answer.

Question

start fraction, 4, divided by, 3, end fraction, x, equals, minus, 15
3
4
​
x=
−15

Answer 1

To solve the equation \(\frac{4}{3}x = -15\), we will isolate \(x\).

1. Start with the equation: \[ \frac{4}{3}x = -15 \]

2. To isolate \(x\), multiply both sides by the reciprocal of \(\frac{4}{3}\), which is \(\frac{3}{4}\): \[ x = -15 \times \frac{3}{4} \]

3. Calculate the right side: \[ x = -15 \times \frac{3}{4} = \frac{-15 \cdot 3}{4} = \frac{-45}{4} \]

Thus, the simplified answer is: \[ x = -\frac{45}{4} \]