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

Answer 1

To find the solution to the equation 4/3x = -6/5, we need to isolate the variable x.

First, we will multiply both sides of the equation by the reciprocal of the coefficient of x, which is 3/4. This cancels out the coefficient on the left side:

(4/3x) * (3/4) = (-6/5) * (3/4)

This simplifies to:

x = (-18/20)

Further simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2, gives:

x = -9/10

So, the solution to the equation 4/3x = -6/5 is x = -9/10.