170x - 1000 = 30(5x-30)
Distributing:
170x - 1000 = 30*5x - 30*30
170x - 1000 = 150x - 900
Each side of the equal sign represents a line. These lines are:
[tex]\begin{gathered} y_1=170x-1000 \\ y_2=150x-900 \end{gathered}[/tex]Given that the slopes of the lines are different, then the lines intercept each other at one point. This means that the equation has one solution.
