Question

in solving \\(\frac{q + r}{s} = t\\) for \\(q\\), begin by:
a. adding \\(r\\) to both sides
b. dividing both sides by \\(t\\)
c. multiplying both sides by \\(s\\)
d. subtracting \\(r\\) from both sides

Explanation:

To solve \(\frac{q + r}{s}=t\) for \(q\), we need to isolate the term containing \(q\). The first step is to eliminate the denominator \(s\). By the multiplication property of equality, we multiply both sides by \(s\) to get \(q + r=ts\). Option a is incorrect as we don't need to add \(r\) first. Option b is incorrect as dividing by \(t\) doesn't help isolate \(q\) initially. Option d is incorrect as we can't subtract \(r\) until we eliminate the denominator. So the correct first step is multiplying both sides by \(s\).

Answer:

c. Multiplying both sides by \(s\)