In the equation
[tex] \frac{p}{q} =\frac{r}{s}[/tex]
the solution for q is
[tex]q = \frac{ps}{r} [/tex]
The given equation is:
[tex] \frac{p}{q} = \frac{r}{s} [/tex]
To solve for q in the given equation, follow the steps below:
Step 1: Cross multiply
ps = qr
Step 2: Rewrite step 1 in the form below
qr = ps
Step 3: Divide both sides by r
[tex] \frac{qr}{r} = \frac{ps}{r} \\[/tex]
Step 4: Like terms divide each other and the resulting equation becomes
[tex]q \: = \frac{ps}{r} [/tex]
Learn more here: https://brainly.com/question/14583740
