Question

What is the solution to the equation 2/3x+1=1/6x-7?

A. x=-16
B. x=-4
C. x=4
D. =16

Answer 1

A

Explanation:

To eliminate the fractions in the equation, multiply all terms by the lowest common multiple of 3 and 6, that is 6

4x + 6 = x - 42 ( subtract x from both sides )

3x + 6 = - 42 ( subtract 6 from both sides )

3x = - 48 ( divide both sides by 3 )

x = - 16

Answer 2

(2/3)x+1=(1/6)x-7

*Isolate the variable by subtracting (1/6)x from both sides*

0.5x+1=-7

*Subtract 1 from both sides*

0.5x=-8

*Divide both sides by 0.5*

A. x=-16

Hope this helps!!