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15. when solving \\(\\frac{ab + c}{d}=e\\) for \\(a\\), what is the fir…

Question

  1. when solving \\(\frac{ab + c}{d}=e\\) for \\(a\\), what is the first step?

a. add \\(c\\) to both sides
b. divide both sides by \\(b\\)
c. multiply both sides by \\(d\\)
d. subtract \\(c\\) from both sides

Explanation:

Step1: Eliminate denominator first

The equation is $\frac{ab + c}{d} = e$. To isolate the numerator, multiply both sides by $d$:
$$\frac{ab + c}{d} \times d = e \times d$$
Simplifies to: $ab + c = ed$

Step2: (Not needed for first step)

This first step removes the fraction, making it easier to solve for $a$ in subsequent steps.

Answer:

c. Multiply both sides by d