Question

classify the equation 170x-1000=30(5x-30) as having one solution,no solution, or infinity many solution

Answer 1

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:

$\begin{gathered} y_1=170x-1000 \\ y_2=150x-900 \end{gathered}$

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.