Question 184953
{{{x/2+x/9=11/18}}} Start with the given equation. Take note that the LCD is 18.



{{{cross(18)^9(x/cross(2))+cross(18)^2(x/cross(9))=cross(18)(11/cross(18))}}} Multiply EVERY term by the LCD to clear the fractions.



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



{{{11x=11}}} Combine like terms.



{{{(cross(11)x)/cross(11)=11/11}}} Divide both sides by 11 to isolate "x"



{{{x=1}}} Reduce.



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Answer:


So the solution is {{{x=1}}}



Check:


{{{x/2+x/9=11/18}}} Start with the given equation.



{{{1/2+1/9=11/18}}} Plug in the given solution {{{x=1}}}



{{{9/18+1/9=11/18}}} Multiply the first fraction by {{{9/9}}}



{{{9/18+2/18=11/18}}} Multiply the second fraction by {{{2/2}}}



{{{11/18=11/18}}} Add. Since both sides are equal, this verifies our answer.