\[
a x-b x+y=z
\]
Which of the following represents the formula that could be used to find \( x \) ?
(A) \( x=\frac{z-y}{a-b} \)
(B) \( x=\frac{a-b}{z-y} \)
(C) \( x=\frac{z-y}{b-a} \)
(D) \( x=\frac{y-z}{b-a} \)

Answer

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Answer

The correct answer is (A) \( x=\frac{z-y}{a-b} \)

Steps

Step 1 ：Rewrite equation as: \( x(a - b) + y = z \)

Step 2 ：Isolate \( x \): \( x = \frac{z - y}{a - b} \)

Step 3 ：The correct answer is (A) \( x=\frac{z-y}{a-b} \)