SOLUTION: please solve for the variable, show work, and provide check. if undefined please state in answer.pleae help!!!thank you all! 7s-2/3 - 3s-16/6 = 2 8/x-2=4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: please solve for the variable, show work, and provide check. if undefined please state in answer.pleae help!!!thank you all! 7s-2/3 - 3s-16/6 = 2 8/x-2=4       Log On


   

Question 389740: please solve for the variable, show work, and provide check. if undefined please state in answer.pleae help!!!thank you all!
7s-2/3 - 3s-16/6 = 2

8/x-2=4
Found 2 solutions by rfer, MathLover1:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
8/x-2=4
8/x-2=4/1
4x-8=8
4x=16
x=4

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
7s-%282%2F3%29+-+3s-%2816%2F6%29+=+2.......both sides multiply by 6 to eliminate denominator
6%2A7s-6%282%2F3%29+-+6%2A3s-6%2816%2F6%29+=+6%2A2

42s-cross%286%292%282%2Fcross%283%291%29+-+18s-+cross%286%29%2816%2Fcross%286%29%29+=+12

42s-4-+18s-16+=+12
42s-+18s+=+12+%2B4+%2B+16

24s+=+32

s+=+32%2F24
s+=+1.333

%288%2Fx%29-2=4+......both sides multiply by x to eliminate denominator
x%288%2Fx%29-2x=4x+..simplify
8-2x=4x+

8=4x%2B2x
8=6x.........or.....6x+=+8

x+=+8%2F6
x+=+1.33333

check:

7s-%282%2F3%29+-+3s-%2816%2F6%29+=+2...substitute s+=+1.333
7%2A1.333+-%282%2F3%29+-+3%2A1.333-%2816%2F6%29+=+2
9.331+-0.666+-+3.999-%282.666%29+=+2
2=+2


%288%2Fx%29-2=4+
%288%2F1.333%29-2=4+

%286.001%29-2=4+
6-2=4+

4=4+