SOLUTION: Hi everyone. I need your help one this one! Explain how you would CHECK that m=2.5 is the correct solution for the equation 5(2m-3)=2(m-2)+5 then show a correct check. Thanks!

Algebra ->  Linear-equations -> SOLUTION: Hi everyone. I need your help one this one! Explain how you would CHECK that m=2.5 is the correct solution for the equation 5(2m-3)=2(m-2)+5 then show a correct check. Thanks!      Log On


   

Question 297474: Hi everyone. I need your help one this one! Explain how you would CHECK that m=2.5 is the correct solution for the equation 5(2m-3)=2(m-2)+5 then show a correct check. Thanks!
Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5%282m-3%29=2%28m-2%29%2B5 Start with the given equation.


10m-15=2m-4%2B5 Distribute.


10m-15=2m%2B1 Combine like terms on the right side.


10m=2m%2B1%2B15 Add 15 to both sides.


10m-2m=1%2B15 Subtract 2m from both sides.


8m=1%2B15 Combine like terms on the left side.


8m=16 Combine like terms on the right side.


m=%2816%29%2F%288%29 Divide both sides by 8 to isolate m.


m=2 Reduce.


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Answer:

So the solution is m=2


Check:


5%282m-3%29=2%28m-2%29%2B5 Start with the given equation.


5%282%282%29-3%29=2%282-2%29%2B5 Plug in m=2


5%284-3%29=2%282-2%29%2B5 Multiply


5%281%29=2%280%29%2B5 Subtract


5=0%2B5 Multiply


5=5 Add


Since the equation is true, this verifies that m=2 is the answer.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Explain how you would CHECK that m=2.5 is the correct solution for the equation 5(2m-3)=2(m-2)+5 then show a correct check
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Sub 2.5 for m, see if the 2 sides are equal
5(2.5-3) =? 2(2.5-2) + 5
5*-0.5 =? 2*0.5 + 5
-2.5 =? 6 It isnt', so m<>2.5
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5(2m-3)=2(m-2)+5
10m-15 = 2m-4 + 5 = 2m+1
8m-15 = 1
8m = 16
m = 2
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You can check it as I did.