Question

Help me!

Solve the equation.

a/4−5/6=−1/2

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Answer 1

`(a)/(4)-(5)/(6)=-(1)/(2)\qquad\text{multiply both sides by common denominator 12}\\\\12\cdot(a)/(4)-12\cdot(5)/(6)=12\cdot\left(-(1)/(2)\right)\\\\3\cdot a-2\cdot5=6\cdot(-1)\\\\3a-10=-6\qquad\text{add 10 to both sides}\\\\3a=4\qquad\text{divide both sides by 3}\\\\\boxed{a=(4)/(3)=1(1)/(3)}`

Answer 2

a = 4/3

Explanation:

a/4 - 5/6 + 5/6 = -1/2 + 5/6

a/4 = 1/3

4a/4 = 1 x 4/3

a = 4/3