Question

a student correctly solves the equation $15 - 6x - 7 = 3x + 6 - 9x$. the students final two steps are shown.$8 - 6x = 6 - 6x$$8 = 6$which statement correctly interprets the students solution?there are infinitely many solutions to the equation since $8 = 6$ is a false statement.there is no solution to the equation since $8 = 6$ is a false statement.the solution to the equation is $x = 0$.the solution to the equation is the ordered pair (8,6).

Explanation:

When solving a linear equation, if simplifying leads to a false numerical statement (with no variable remaining), this means no value of $x$ can make the original equation true. The statement $8=6$ is always false, so there is no solution for $x$.

Answer:

There is no solution to the equation since $8 = 6$ is a false statement.