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

Subtract 10m: Subtract 10m from both sides of the equation to get all the m terms on one side. 8m - 10m = 10m - 10m - 8 Simplify the equation. -2m = -8Simplify the equation: Divide both sides of the equation by -2 to solve for m. -2m / -2 = -8 / -2 m = 4Divide by -2: Check the solution by substituting m = 4 back into the original equation. 8m = 10m - 8 8(4) = 10(4) - 8 32 = 40 - 8 32 = 32 The solution m = 4 satisfies the original equation.

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

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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

Subtract $10m$ : Subtract $10m$ from both sides of the equation to get all the $m$ terms on one side. $\newline$ $8m - 10m = 10m - 10m - 8$ $\newline$ Simplify the equation. $\newline$ $-2m = -8$
Simplify the equation: Divide both sides of the equation by $-2$ to solve for $m$ . $\newline$ $-2m / -2 = -8 / -2$ $\newline$ $m = 4$
Divide by $-2$ : Check the solution by substituting $m = 4$ back into the original equation. $8m = 10m - 8$ $8(4) = 10(4) - 8$ $32 = 40 - 8$ $32 = 32$ The solution $m = 4$ satisfies the original equation.