Question

how many solutions does the following equation have?
$-25z + 1 + 35z = 10z + 1$
choose 1 answer:
a no solutions
b exactly one solution
c infinitely many solutions

Explanation:

Step1: Combine like terms on left

$$\begin{align*} -25z + 35z + 1 &= 10z + 1 \\ 10z + 1 &= 10z + 1 \end{align*}$$

Step2: Subtract $10z$ from both sides

$$\begin{align*} 10z - 10z + 1 &= 10z - 10z + 1 \\ 1 &= 1 \end{align*}$$

Answer:

C. Infinitely many solutions