What is equivalent to

6/7=x/y^2

multipy both sides by 7y^2

There are many equivalent equations to what you wrote. One would be

7/6 = y^2/x.
Another would be
6y^2 = 7x
or any multiple thereof.

To find the value of x in the equation 6/7 = x/y^2, we can solve for x by isolating it on one side of the equation.

Step 1: Cross-multiply
Multiply the numerator of the left side of the equation (6) by the denominator of the right side of the equation (y^2), and multiply the denominator of the left side of the equation (7) by the numerator of the right side of the equation (x).

6y^2 = 7x

Step 2: Solve for x
Divide both sides of the equation by 7 to isolate x.

(6y^2)/7 = x

So, the value of x is (6y^2)/7.