(x/y) - z = nw. Solve for x in the equation above.

Rationale

x = y(nw + z)

In the equation "(x/y) - z = nw", to solve for x, you need to isolate x on one side of the equation. This involves multiplying both sides by y and adding zy to both sides.

A (x = y(nw + z)) CORRECT

This is the correct solution. First, you multiply both sides of the equation "(x/y) - z = nw" by y. This results in "x - yz = ynw", then you add yz to both sides of the equation, which gives you "x = y(nw + z)".

B (x = y(2 + rw)) YOUR ANSWER

This is not correct because it does not follow the correct algebraic steps to solve the equation for x. There is no term 2 or rw in the original equation, so this option introduces variables and constants that are not present in the original equation.

C (x = yw + yz) YOUR ANSWER

This is not correct either. While it appears to use the variables from the original equation, the operations are incorrect. In the original equation, z is subtracted, not added, and the term yw does not appear in the original equation.

D (x = y(nw - z)) YOUR ANSWER

This is also incorrect. It incorrectly subtracts z from nw in the parentheses, whereas the correct operation, according to the original equation, is to add z to nw.

Conclusion

In order to solve the equation "(x/y) - z = nw" for x, you must isolate x. This involves two steps: first, multiplying both sides of the equation by y; second, adding yz to both sides of the equation. The correct result is "x = y(nw + z)", not any of the other choices. The other choices either introduce variables and constants not present in the original equation, or incorrectly manipulate the variables in the equation.

(x/y) - z = nw. Solve for x in the equation above.

x = y(nw + z)

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