Question

A - B = C(AC - D); what is the answer to this literal equation?

A) A - B = C(AC - D)
B) A = B + C(AC - D)
C) A = B - C(AC - D)
D) A = B / (AC - D)

Answer 1

The correct answer to the literal equation is option B) A = B + C(AC - D), which is obtained by adding B to both sides of the equation to isolate A.

Step-by-step explanation:

To solve the literal equation A - B = C(AC - D), we are aiming to isolate A on one side of the equation. By applying the distributive property which states that A(B + C) = AB + AC, we can distribute C over (AC - D). This simplifies the right side of the equation. However, since there are no like terms to AC being subtracted or added on other sides, it will remain as is.

We need to add B to both sides of the given equation to isolate A. This yields the new equation A = B + C(AC - D), which corresponds to option B in the provided multiple-choice answers.