Question

1. classify the equation 170x - 1,000 = 30(5x - 30) as having one solution, no solution, or infinitely many solutions.

Explanation:

Step1: Expand the right - hand side

$170x−1000 = 30\times5x-30\times30$
$170x−1000 = 150x - 900$

Step2: Move the terms with x to one side

$170x−150x=1000 - 900$

Step3: Simplify both sides

$20x = 100$

Step4: Solve for x

$x=\frac{100}{20}=5$

Answer:

One solution