Question 200537


{{{-(1/3)y+2/9=1/2}}} Start with the given equation.



{{{cross(18)^6(-(1/cross(3))y)+cross(18)^2(2/cross(9))=cross(18)^9(1/cross(2))}}} Multiply EVERY term by the LCD {{{18}}} to clear any fractions.



{{{-6y+4=9}}} Multiply and simplify



{{{-6y=9-4}}} Subtract {{{4}}} from both sides.



{{{-6y=5}}} Combine like terms on the right side.



{{{y=(5)/(-6)}}} Divide both sides by {{{-6}}} to isolate {{{y}}}.



{{{y=-5/6}}} Reduce.



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Answer:


So the solution is {{{y=-5/6}}} which approximates to {{{y=-0.833}}}.