What is the solution of the equation 4/3x=−6/5 ?(1 point)
1 answer
To solve the equation $\frac{4}{3}x = -\frac{6}{5}$, we can first multiply both sides of the equation by the reciprocal of $\frac{4}{3}$, which is $\frac{3}{4}$. Doing so, we get: $$\frac{3}{4} \cdot \frac{4}{3}x = \frac{3}{4} \cdot -\frac{6}{5}$$ Simplifying both sides, we have: $$x = -\frac{18}{20}$$ To further simplify the fraction, we can divide both numerator and denominator of $-\frac{18}{20}$ by the greatest common divisor of 18 and 20, which is 2. Dividing, we have: $$x = -\frac{9}{10}$$ The solution to the equation is $x = -\frac{9}{10}$. Answer: \boxed{-\frac{9}{10}}