To solve the equation -6/7 = -x/84, we are going to use cross-multiplication. To do this, we multiply the numerator of one fraction by the denominator of the other fraction and set this equal to the product of the other numerator and denominator. This is set up below:
-6(84) = 7(-x)
To simplify this equation further, we are going to perform the multiplication operation on both sides of the equation.
-504 = -7x
To simplify this equation further, we can get the variable x alone on the right side of the equation by dividing both sides by -7.
x = 72
Therefore, your answer is 72. We can check this answer by substituting 72 back into the original equation for the variable x and making sure it creates a true statement. Because -6/7 = -72/84, we know that our answer is correct.
Hope this helps!