Austin worked out the problem to the left and got an answer of

Question

x=7.

Lisa thinks he made a mistake and the answer should be
x=1.

Who is correct or are they both wrong? Why?



Lisa is correct

Austin is correct

Both wrong

Answer 1

To determine who is correct—Austin or Lisa—we would need to know the specific problem or equation they were solving. Since that information is not provided, it's impossible to say definitively whether Austin's answer of \(x = 7\) or Lisa's answer of \(x = 1\) is correct, or if both are wrong.

If you can provide the actual problem or equation they were working on, I would be happy to help you solve it!

Answer 2

5x-3(x-2)=8

Answer 3

Let's solve the equation \(5x - 3(x - 2) = 8\) step-by-step to see who, if anyone, is correct.

1. Distribute \(-3\) in \(-3(x - 2)\): \[ 5x - 3x + 6 = 8 \]

2. Combine like terms: \[ (5x - 3x) + 6 = 8 \implies 2x + 6 = 8 \]

3. Subtract 6 from both sides: \[ 2x = 8 - 6 \implies 2x = 2 \]

4. Divide both sides by 2: \[ x = 1 \]

So, the solution to the equation is \(x = 1\).

Conclusion: Lisa is correct, and Austin is incorrect.