Algebrahard · Past Paper

Solve the following literal equation for x.

Ax=a+b
Bx=a-b
Cx=ab
Dx=b-a

✓ Correct Answer: A — x=a+b

Subtract ax and b^2 from both sides: ax - bx = a^2 - b^2. Factor: x(a-b) = (a-b)(a+b). Divide by (a-b) to get x = a+b.

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