Question

3 elena said the equation ( 9x + 15 = 3x + 15 ) has no solutions because ( 9x ) is greater than ( 3x ). do you agree with elena? explain your reasoning.

Explanation:

Step1: Solve the equation \(9x + 15 = 3x + 15\)

Subtract \(3x\) from both sides: \(9x - 3x + 15 = 3x - 3x + 15\)
Simplify: \(6x + 15 = 15\)

Step2: Subtract 15 from both sides

\(6x + 15 - 15 = 15 - 15\)
Simplify: \(6x = 0\)

Step3: Divide by 6

\(x = \frac{0}{6} = 0\)
So the equation has a solution (\(x = 0\)), so Elena's reasoning is wrong.

Answer:

No, because solving \(9x + 15 = 3x + 15\) gives \(x = 0\), so the equation has a solution.