Question

Noah and Lin both solved the equation 14a = 2(a - 3). Do you agree with either of them? Why?

Do you agree with either Noah or Lin's solution to the equation 14a = 2(a - 3)? Why?
a) I agree with Noah because he solved it correctly.
b) I agree with Lin because she solved it correctly.
c) I disagree with both because they both made mistakes.
d) I agree with both because they have different but correct solutions.

Answer 1

Both Noah and Lin correctly solved the equation 14a = 2(a - 3) and reached the same solution.

Step-by-step explanation:

Both Noah and Lin solved the equation 14a = 2(a - 3), so let's check their solutions:
Noah's Solution: 14a = 2(a - 3)
Distribute the 2: 14a = 2a - 6
Subtract 2a from both sides: 12a = -6
Divide both sides by 12: a = -0.5
Lin's Solution: 14a = 2(a - 3)
Distribute the 2: 14a = 2a - 6
Subtract 2a from both sides: 12a = -6
Divide both sides by 12: a = -0.5
Both Noah and Lin reached the correct solution a = -0.5, so I agree with both of them. Therefore, the answer is (d) I agree with both because they have different but correct solutions.