Question

Lucy is solving the linear equation 24 + 5y - 10 = 8y + 12 – 3y.

Her final two steps are:
14 + 5y = 5y + 12
14 = 12
Select the statement that correctly interprets lucy’s solution.

Answer 1

Lucy's solution to the linear equation is incorrect, as her steps do not lead to a consistent solution for y.

Step-by-step explanation:

Lucy's solution to the linear equation 24 + 5y - 10 = 8y + 12 – 3y is incorrect. Her final two steps, 14 + 5y = 5y + 12 and 14 = 12, do not lead to a consistent solution for y.

To correctly solve the equation, we need to combine like terms on both sides. Starting from the given equation: 24 + 5y - 10 = 8y + 12 – 3y, we can simplify to: 14 + 5y = 5y + 12. However, if we subtract 5y from both sides, we get a false statement: 14 = 12, which means there is no valid solution for y.