SOLUTION: Solve for x and check the result 6x-1/5 - 2x/3 = 3 (6x-1 over 5) - (2x over 3) = 3 X=

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Solve for x and check the result 6x-1/5 - 2x/3 = 3 (6x-1 over 5) - (2x over 3) = 3 X=       Log On


   

Question 77176: Solve for x and check the result
6x-1/5 - 2x/3 = 3
(6x-1 over 5) - (2x over 3) = 3

X=

Found 2 solutions by ankor@dixie-net.com, checkley75:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%286x-1%29%29%2F5 - 2x%2F3 = 3
:
Find a common denominator, multiplying the denominators will always give you that
Multiply equation by 5*3 = 15. That means multiply each term by 15
%2815%286x-1%29%29%2F5 - %2815%282x%29%29%2F3 = 15(3)
:
Cancel out the denominators and you have:
3(6x-1) - 5(2x) = 45
:
Multiply what's inside the brackets
18x - 3 - 10x = 45
:
18x - 10x = 45 + 3
:
8x = 48
;
x = 48/8
:
x = 6
:
:
Check by substituting 6 for x in the original equation:
35%2F5%29 - 12%2F3 = 3
:
Sorry student, I really screwed this one up, hope it's straightened out now

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
(6X-1)/5-2X/3=3
(3[6X-1]-2X*5)/15=3
(18X-3-10X)/15=3 CROSS MULTIPLY
8X-3=45
8X=45+3
8X=48
X=48/8
X=6 ANSWER
PROOF
(6*6-1)/5-2*6/3=3
35/5-12/3=3
7-4=3
3=3