How many solutions does this equation have? –8m = –8m − 2 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze the equation: Analyze the equation –8m = –8m − 2. We have the same term on both sides of the equation, –8m, but on the right side, there is an additional –2.Simplify by subtracting: Attempt to simplify the equation by subtracting –8m from both sides to isolate the variable m. –8m + 8m = –8m + 8m − 2 0 = –2Evaluate the result: Evaluate the result of the simplification. We end up with a statement that says 0 = –2, which is a contradiction because 0 can never equal –2. This means that there is no value of m that can satisfy the equation.Conclude number of solutions: Conclude the number of solutions based on the contradiction. Since the equation results in a false statement, it has no solution.

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How many solutions does this equation have? $\newline$ $-8m = -8m - 2$ $\newline$ 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

-8m = -8m - 2

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Analyze the equation: Analyze the equation $–8m = –8m − 2$ . We have the same term on both sides of the equation, $–8m$ , but on the right side, there is an additional $–2$ .
Simplify by subtracting: Attempt to simplify the equation by subtracting $–8m$ from both sides to isolate the variable $m$ . $–8m + 8m = –8m + 8m − 2$ $0 = –2$
Evaluate the result: Evaluate the result of the simplification. $\newline$ We end up with a statement that says $0 = -2$ , which is a contradiction because $0$ can never equal $-2$ . $\newline$ This means that there is no value of $m$ that can satisfy the equation.
Conclude number of solutions: Conclude the number of solutions based on the contradiction. $\newline$ Since the equation results in a false statement, it has no solution.