Question

Classify the equation 6x + 4x - 1 = 2(5x + 4) as having one solution, infinitely many solutions, or no solution. Enter integers or expressions to complete the solution. (Simplify your answers.) Since - 1 = 8, the equation has no solution(s).

Answer 1

Solve;

$\begin{gathered} 6x+4x-1=2(5x+4) \\ \text{Solve the parenthesis,} \\ 10x-1=10x+8 \\ \text{Collect all like terms} \\ 10x-10x=8+1 \\ 0=9 \\ \text{This equation has no solution because 0=9 is not possible} \end{gathered}$

The answer is

No solution