Question

What is the value of x in the equation x - 2/3 + 1/6 = 5/6?

1) 4
2) 6
3) 8
4) 11

Answer 1

`\large\boxed{x=(4)/(3)=1(1)/(3)}`

Explanation:

`x-(2)/(3)+(1)/(6)=(5)/(6)\qquad\text{multiply both sides by 6}\\\\6x-6\!\!\!\!\diagup^2\cdot\left((2)/(3\!\!\!\!\diagup_1)\right)+6\!\!\!\!\diagup^1\cdot\left((1)/(6\!\!\!\!\diagup_1)\right)=6\!\!\!\!\diagup^1\cdot\left((5)/(6\!\!\!\!\diagup_1)\right)\\\\6x-(2)(2)+1=5\\\\6x-4+1=5\\\\6x-3=5\qquad\text{add 3 to both sides}\\\\6x=8\qquad\text{divide both sides by 6}\\\\x=(8)/(6)\\\\x=(8:2)/(6:2)\\\\x=(4)/(3)`

Answer 2

The answer is B it is 0.6 or 6