Answer:
[tex]q=3+0.5r[/tex]
Step-by-step explanation:
Given the equation with two variables
[tex]10q-5r=30[/tex]
You have to rearrange this equation so the variable [tex]r[/tex] is independent variable. If [tex]r[/tex] is independent variable, then variable [tex]q[/tex] must be expressed in terms of [tex]r[/tex].
Add [tex]5r[/tex] to both sides of equation:
[tex]10q-5r+5r=30+5r\\ \\10q=30+5r[/tex]
Divide this equation by 10:
[tex]\dfrac{10q}{10}=\dfrac{30+5r}{10}\\ \\q=\dfrac{30}{10}+\dfrac{5r}{10}\\ \\q=3+0.5r[/tex]
