Since neither equation is written as “p = some value” or “c = some value” yet, we can rewrite either equation in terms of c or in terms of p. Let’s rewrite the second equation in terms of c. What move can you make to both sides of the equation to get rid of p on the left side of the equation, so that c is alone on the left?

3c+2.5p = 31
c+p = 11

c+p = 11

Add p to both sides

Divide both sides by p

Subtract p from both sides

1 answer

To rewrite the second equation in terms of \(c\), you want to isolate \(c\) on the left side of the equation. The correct move is:

Subtract \(p\) from both sides.

This will give you:

\[ c = 11 - p \]

This expresses \(c\) in terms of \(p\).