How many solutions does this equation have? –3m = 8 − 3m Choices: (A)no solution (B)one solution (C)infinitely many solutions

Write Equation: Write down the given equation. –3m = 8 − 3mIsolate Variable: Attempt to isolate the variable m on one side of the equation. Add 3m to both sides of the equation to move all terms involving m to one side. –3m + 3m = 8 − 3m + 3mSimplify Equation: Simplify both sides of the equation. 0 = 8Analyze Simplified: Analyze the simplified equation. The equation 0 = 8 is never true, regardless of the value of m.Conclude Solutions: Conclude the number of solutions based on the analysis. Since the equation 0 = 8 is a contradiction, there are no values of m that can satisfy the equation.

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How many solutions does this equation have? $\newline$ $-3m = 8 - 3m$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions

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Math Problems

Algebra 1

Find the number of solutions to a linear equation

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Q. How many solutions does this equation have?

\newline

-3m = 8 - 3m

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Write Equation: Write down the given equation. $\newline$ $-3m = 8 - 3m$
Isolate Variable: Attempt to isolate the variable $m$ on one side of the equation. $\newline$ Add $3m$ to both sides of the equation to move all terms involving $m$ to one side. $\newline$ $-3m + 3m = 8 - 3m + 3m$
Simplify Equation: Simplify both sides of the equation. $0 = 8$
Analyze Simplified: Analyze the simplified equation. $\newline$ The equation $0 = 8$ is never true, regardless of the value of $m$ .
Conclude Solutions: Conclude the number of solutions based on the analysis. $\newline$ Since the equation $0 = 8$ is a contradiction, there are no values of $m$ that can satisfy the equation.