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How many solutions does this equation have?\newline8+8m=10m8 + 8m = 10m\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

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Find the number of solutions to a linear equationright chevron icon

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Q. How many solutions does this equation have?\newline8+8m=10m8 + 8m = 10m\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Isolate variable term: Isolate the variable term on one side of the equation.\newlineTo do this, we can subtract 8m8m from both sides of the equation to get:\newline8+8m−8m=10m−8m8 + 8m - 8m = 10m - 8m\newlineThis simplifies to:\newline8=2m8 = 2m
  2. Solve for m: Solve for m.\newlineTo find the value of mm, we divide both sides of the equation by 22:\newline82=2m2\frac{8}{2} = \frac{2m}{2}\newlineThis gives us:\newline4=m4 = m
  3. Check solution: Check the solution.\newlineWe can substitute mm with 44 back into the original equation to verify if it holds true:\newline8+8(4)=10(4)8 + 8(4) = 10(4)\newline8+32=408 + 32 = 40\newline40=4040 = 40\newlineSince the equation holds true, our solution m=4m = 4 is correct.

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