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

Question

2b+1.5r = 17
b+r = 10

b+r = 10

Add r to both sides

Subtract r from both sides

Divide both sides by r

Multiply both sides by r

Answer 1

To rewrite the equation \( b + r = 10 \) in terms of \( b \), you need to get rid of \( r \) on the left side. The correct move would be to subtract \( r \) from both sides of the equation.

So, the correct operation is:

Subtract \( r \) from both sides.

This will give you:

\[ b = 10 - r \]

Now, \( b \) is expressed in terms of \( r \).