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When 2x^2/y=w+2/4 is solved for w, one equation is w =8x^2/7 -2 Which of the following is an equivalent equation to find w?

w = StartFraction 8 x squared + 2 y Over y EndFraction
w = StartFraction 8 x squared minus 2 y Over y EndFraction
w = 8 x squared minus 3 y
w = 8 x squared minus y

1 Answer

3 votes

Explanation:

To solve an equation for a variable, you can isolate the variable by performing operations that eliminate all other terms.

In this case, the given equation is 2x^2/y = w + 2/4. To solve for w, you can first eliminate the 2/4 term on the right-hand side by multiplying both sides of the equation by 4/2:

4 * (2x^2/y) = 4 * (w + 2/4)

4 * 2x^2/y = 4w + 4 * 2/4

8x^2/y = 4w + 2

Then, you can subtract 2 from both sides to eliminate the 2 on the right-hand side:

8x^2/y - 2 = 4w + 2 - 2

8x^2/y - 2 = 4w

Finally, you can divide both sides of the equation by 4 to eliminate the 4 on the right-hand side:

(8x^2/y - 2) / 4 = (4w) / 4

w = 8x^2/7 - 2

Therefore, the correct answer is w = 8 x squared minus 2 y Over y. This is an equivalent equation to find w, as it gives the same value for w as the original equation when the same values are used for x and y.

The other equations given are not equivalent to the original equation for finding w.

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