Question

Brooke solved the equation below: 6r = 72 6r − 6 = 72 − 6 r = 66 Is Brooke’s solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.

Answer 1

Brooke's solution is incorrect

Divide both sides by 6

r=12

Explanation:

The equation is:

6r=72

Brooke solved the equation like so:

6r-6=72-6

r=66

Brooke's solution is incorrect. She subtracted 6 from both sides of the equation.

Here is how the equation should be solved:

6r=72

We want to solve for r, so we have to get r by itself. 6 and r are being multiplied (6*r=6r). The inverse of multiplication is division, so we must divide both sides by 6 (not subtract 6 from both sides).

6r/6=72/6

r=72/6

r=12

Brooke's solution is incorrect. She subtracted 6 instead of dividing by 6. The correct solution is r=12.

Answer 2

see below

Explanation:

6r = 72

We need to divide each side by 6, not subtract 6 from each side

6r/6 = 72/6

r = 12