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

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1 answer

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

First, we can multiply both sides of the equation by the reciprocal of 4/3, which is 3/4. This step eliminates the fraction and leaves us with:

(3/4)(4/3)x = (3/4)(-6/5)
x = -18/20

However, this fraction can be simplified further. We can divide both the numerator and denominator of -18/20 by their greatest common divisor (GCD), which is 2:

-18/20 = (-18/2) / (20/2) = -9/10

Thus, the solution to the equation is x = -9/10.