Question

Which equations have the same value of x as 5/6 x + 2/3 ? Check all that apply.

Answer 1

B.
`6((5)/(6) x+(2)/(3)) =-9(6)`

C. 5x + 4 = -54

F. 5x = -58

Explanation:

Solving given equation step to step:

The given equation is a linear form and to solve for x.

`(5)/(6) x+(2)/(3)=-9\\\Rightarrow6((5)/(6) x+(2)/(3)) =-9(6)\ \ \ \ \   [\because \text{Multiplying both side by 6}]\\\Rightarrow 6((5x+4)/(6)) =-9(6)\ \ \ \ \   [\because text{taking LCM of 6 and 3} ]\\\Rightarrow 5x+4=-9(6)\\\Rightarrow 5x+4 =-54\\\Rightarrow 5x =-54-4\\\Rightarrow 5x =-58`