Question

1 multiple choice 1 point maya solves an equation. the last two steps of her work are shown. $5x + 7 = 5x - 7$ $7 = -7$ which statement is correct? the equation has no solution because $7 = -7$ is false. the equation has infinitely many solutions because $7 = -7$. the equation has two solutions -7 and 7. the equation has a solution $x = 0$.

Explanation:

Step1: Analyze the simplified equation

We end up with $7 = -7$, which is a false statement with no variable remaining.

Step2: Interpret the false statement

When solving an equation leads to a false, variable-free statement, there is no value of $x$ that can make the original equation true.

Answer:

A. The equation has no solution because 7 = -7 is false.