Question

$y = -3x + 2$
$y = 2 - 3x$
how many solutions does this system of equations have?
one solution
infinitely many solutions
no solution

Explanation:

Step1: Rearrange second equation

$y = -3x + 2$

Step2: Compare the two equations

Both equations are identical: $y = -3x + 2$

Step3: Determine number of solutions

Identical linear equations overlap completely, so every point on the line is a solution.

Answer:

infinitely many solutions