Question

Nosaira solved an equation. Her work is shown below: 3(2x + 1 ) = 2(x + 1) + 1 6x + 3 = 2x + 2 + 1 6x + 3 = 2x + 3 4x = 0 x = 0 She determines the equation has no solution. Which best describes Nosaira’s work and answer? Her work is correct, but there is one solution rather than no solution. Her work is correct and her interpretation of the answer is correct. Her work is incorrect. She distributed incorrectly. Her work is incorrect. She moved terms across the equals sign incorrectly.

Answer 1

3(2x+1)=2(x+1)+1
6x+3=2x+2+1
6x+3=2x+3
minus 2x
4x+3=3
minus 3
4x=0
divide by 4
x=0

her work is correct
her conclusion is wrong; there is one solution which is x=0

Answer 2

Answer:

Her work is correct, but there is one solution rather than no solution

Step-by-step explanation: