How many solutions does this equation have? 2m + 3 = m Choices: (A)no solution (B)one solution (C)infinitely many solutions

Isolate variable m: Isolate the variable m on one side of the equation. 2m + 3 = m Subtract m from both sides to get: 2m - m + 3 = m - mSimplify equation: Simplify both sides of the equation. 2m - m = m - m becomes: m + 3 = 0Subtract 3: Subtract 3 from both sides to solve for m. m + 3 - 3 = 0 - 3 m = -3Check solution: Check the solution by substituting m back into the original equation. 2(-3) + 3 = -3 -6 + 3 = -3 -3 = -3 This shows that m = -3 is a solution to the equation.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

How many solutions does this equation have? $\newline$ $2m + 3 = m$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions

View step-by-step help

Home

Math Problems

Algebra 1

Find the number of solutions to a linear equation

Full solution

Q. How many solutions does this equation have?

\newline

2m + 3 = m

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Isolate variable $m$ : Isolate the variable $m$ on one side of the equation. $2m + 3 = m$ Subtract $m$ from both sides to get: $2m - m + 3 = m - m$
Simplify equation: Simplify both sides of the equation. $2m - m = m - m$ becomes: $m + 3 = 0$
Subtract $3$ : Subtract $3$ from both sides to solve for $m$ . $\newline$ $m + 3 - 3 = 0 - 3$ $\newline$ $m = -3$
Check solution: Check the solution by substituting $m$ back into the original equation. $2(-3) + 3 = -3$ $-6 + 3 = -3$ $-3 = -3$ This shows that $m = -3$ is a solution to the equation.