Martin is solving the following linear equation. \[ 11+15 x-7=3(5 x+2) \] His final two steps are: \[ \begin{aligned} 15 x+4 & =15 x+6 \\ 4 & =6 \end{aligned} \] Select the statement that correctly interprets Martin's solution. The solution is \( (4,6) \). There are infinitely many solutions since \( 4=6 \) is a false statement. There is no solution since \( 4=6 \) is a false statement. The solution is \( x=0 \).

The statement that correctly interprets Martin's solution is: There is no solution since \( 4=6 \) is a false statement. When simplifying the equation, Martin ended up with a contradiction, indicating that there are no values of \( x \) that would satisfy the original equation. Now, to explore this further: linear equations can sometimes lead to unexpected results! When you reduce your equations and end up with something like \( 4=6 \), it means that the lines represented by the equations are parallel. Therefore, they never intersect, meaning no solutions exist. This can be a surprising and crucial learning point in algebra!