# When 2x^{2}/y = w + 2/4 is solved for w, one equation is w= 8x2/y - 2. Which of the following is an equivalent equation to find w?

w = 8x^{2} + 2y/y, w = 8x^{2} - 2y/y, w = 8x^{2} - 3y, w = 8x^{2} - y

**Solution:**

Given: 2x^{2}/y = (w + 2)/4

4(2x^{2}) = y(w + 2)

By further calculation

8x^{2} = wy + 2y

Now isolate w

wy = 8x^{2} - 2y

Now divide by y on both sides

w = (8x^{2} - 2y)/y

Therefore, the equivalent equation is w = (8x^{2} - 2y)/y.

## When 2x^{2}/y = w + 2/4 is solved for w, one equation is w= 8x^{2}/y - 2. Which of the following is an equivalent equation to find w?

**Summary:**

When 2x^{2}/y = w + 2/4 is solved for w, one equation is w = 8x^{2}/y - 2. The equivalent equation to find w is w = (8x^{2} - 2y)/y.