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

Isolate variable term: Isolate the variable term on one side of the equation. To do this, we can subtract 8m from both sides of the equation to get: 8 + 8m - 8m = 10m - 8m This simplifies to: 8 = 2mSolve for m: Solve for m. To find the value of m, we divide both sides of the equation by 2: 8 / 2 = 2m / 2 This gives us: 4 = mCheck solution: Check the solution. We can substitute m with 4 back into the original equation to verify if it holds true: 8 + 8(4) = 10(4) 8 + 32 = 40 40 = 40 Since the equation holds true, our solution m = 4 is correct.

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

8 + 8m = 10m

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Isolate variable term: Isolate the variable term on one side of the equation. $\newline$ To do this, we can subtract $8m$ from both sides of the equation to get: $\newline$ $8 + 8m - 8m = 10m - 8m$ $\newline$ This simplifies to: $\newline$ $8 = 2m$
Solve for m: Solve for m. $\newline$ To find the value of $m$ , we divide both sides of the equation by $2$ : $\newline$ $\frac{8}{2} = \frac{2m}{2}$ $\newline$ This gives us: $\newline$ $4 = m$
Check solution: Check the solution. $\newline$ We can substitute $m$ with $4$ back into the original equation to verify if it holds true: $\newline$ $8 + 8(4) = 10(4)$ $\newline$ $8 + 32 = 40$ $\newline$ $40 = 40$ $\newline$ Since the equation holds true, our solution $m = 4$ is correct.