What is the solution of the equation 4/3x=−6/5

?(1 point)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

To solve the equation \( \frac{4}{3}x = -\frac{6}{5} \), follow these steps:

  1. Multiply both sides of the equation by the reciprocal of \( \frac{4}{3} \) which is \( \frac{3}{4} \): \[ x = -\frac{6}{5} \cdot \frac{3}{4} \]

  2. Now perform the multiplication on the right side: \[ x = -\frac{6 \cdot 3}{5 \cdot 4} = -\frac{18}{20} \]

  3. Simplify \( -\frac{18}{20} \): \[ x = -\frac{9}{10} \]

Thus, the solution to the equation \( \frac{4}{3}x = -\frac{6}{5} \) is: \[ x = -\frac{9}{10} \]