Question

How many solutions does the equation y + 12 = y + 10 + 2 have? ZeroOneTwoInfinitely many

Answer 1

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given equation

$y+12=y+10+2$

STEP 2: Simplify the expression

$\begin{gathered} y+12=y+10+2 \\ y+12=y+12 \\ \mathrm{Subtract\:}y\mathrm{\:from\:both\:sides} \\ y+12-y=y+10+2-y \\ 12=10+2 \\ 12=12 \end{gathered}$

Since 12 = 12, hence the equation has "infinitely many solutions"