SOLUTION: solve for x and check your answer. x/2+x/9=11/18

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Question 184953: solve for x and check your answer.

x/2+x/9=11/18
Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F2%2Bx%2F9=11%2F18 Start with the given equation. Take note that the LCD is 18.


Multiply EVERY term by the LCD to clear the fractions.


9x%2B2x=11 Simplify. Notice how the fractions are gone and we're left with a simple equation.


11x=11 Combine like terms.


%28cross%2811%29x%29%2Fcross%2811%29=11%2F11 Divide both sides by 11 to isolate "x"


x=1 Reduce.


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Answer:

So the solution is x=1


Check:

x%2F2%2Bx%2F9=11%2F18 Start with the given equation.


1%2F2%2B1%2F9=11%2F18 Plug in the given solution x=1


9%2F18%2B1%2F9=11%2F18 Multiply the first fraction by 9%2F9


9%2F18%2B2%2F18=11%2F18 Multiply the second fraction by 2%2F2


11%2F18=11%2F18 Add. Since both sides are equal, this verifies our answer.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
solve for x and check your answer.
x/2+x/9=11/18
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Multiply thru by 18
9x + 2x = 11
11x = 11
x = 1
You check it.