Question

how many solutions does the following equation have?
$60z + 50 - 97z = -37z + 49$
choose 1 answer:
a no solutions
b exactly one solution
c infinitely many solutions

Explanation:

Step1: Combine like terms on left

$60z - 97z + 50 = -37z + 49$
$\implies -37z + 50 = -37z + 49$

Step2: Eliminate $-37z$ from both sides

Subtract $-37z$ from each side:
$-37z + 50 + 37z = -37z + 49 + 37z$
$\implies 50 = 49$

Answer:

A. No solutions