Question

Solve the equation -2/3x - 3/4x =5/6.

Answer 1

-2/3x - 3/4x =5/6.

Find the common denominator for -2/3x and -3/4x. The common denominator is 12.

Multiply by 4 for -2/3x. (-2)(4)/3(4)x=-8/12x

Multiply by 3 for -3/4x. (-3)(3)/4(3)x=-9/12x

-8/12x-9/12x=5/6

-17/12x=5/6

Multiply both sides by -12/17

(-17/12x)(-12/17)=5/6(-12/17)

Cross out -17 and 17, divide by 17. Then becomes 1.

Cross out -12 and -12, divide by -12. Then becomes 1.

1*1*x=x

Cross out 6 and -12, divide by 6. 6/-6=1, -12/6=-2

5*-2/17=-10/17

Answer: -10/17

Answer 2

common denumerator is 12

-8/12x-9/12x=10/12

-17/12x=10/12 <<multiply by 12

-17x=10

x=-0.59