How many solutions does this equation have? 10 − 10m = –8m Choices: (A)no solution (B)one solution (C)infinitely many solutions

Simplify Equation: Simplify the equation by moving all terms involving m to one side. 10 − 10m + 8m = 0 Combine like terms. 10 − 2m = 0Combine Like Terms: Solve for m. Subtract 10 from both sides. −2m = −10 Divide both sides by -2. m = 5Solve for m: Check the solution. Substitute m = 5 back into the original equation to verify if it holds true. 10 − 10(5) = –8(5) 10 − 50 = -40 -40 = -40 The solution m = 5 satisfies the original equation.

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How many solutions does this equation have? $\newline$ $10 - 10m = -8m$ $\newline$ 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?

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10 - 10m = -8m

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Choices:

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(A)no solution

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(B)one solution

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(C)infinitely many solutions

Simplify Equation: Simplify the equation by moving all terms involving $m$ to one side. $10 − 10m + 8m = 0$ Combine like terms. $10 − 2m = 0$
Combine Like Terms: Solve for $m$ . $\newline$ Subtract $10$ from both sides. $\newline$ $-2m = -10$ $\newline$ Divide both sides by $-2$ . $\newline$ $m = 5$
Solve for $m$ : Check the solution. $\newline$ Substitute $m = 5$ back into the original equation to verify if it holds true. $\newline$ $10 − 10(5) = −8(5)$ $\newline$ $10 − 50 = -40$ $\newline$ $-40 = -40$ $\newline$ The solution $m = 5$ satisfies the original equation.