SOLUTION: 2x/7 + 3x/2 = 25/7

Algebra ->  Functions -> SOLUTION: 2x/7 + 3x/2 = 25/7      Log On


   



Question 54213: 2x/7 + 3x/2 = 25/7
Found 2 solutions by funmath, checkley71:
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply both sides of the = sign by the LCD (lowest common denominator) to clear the fractions and make life easier:
2x%2F7%2B3x%2F2=25%2F7 The LCD is 2*7.
2%2A7%282x%2F7%2B3x%2F2%29=2%2A7%2825%2F7%29
2%2A7%2A2x%2F7%2B2%2A7%2A3x%2F2=2%2A7%2A25%2F7

2%2A2x%2B7%2A3x=2%2A25
4x%2B21x=50
25x=50
25x%2F25=50%2F25
highlight%28x=2%29
Check by substituting x=2 back into the original equation and simplifying and see if both sides equal:
(((2(2)/7+3(2)/2=25/7}}}
4%2F7%2B6%2F3=25%2F7
4%2F7%2B3=25%2F7
4%2F7%2B3%2A7%2F7=25%2F7
4%2F7%2B21%2F7=25%2F7
25%2F7=25%2F7
We're right!
Happy Calculating!!!

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
2X/7+3X/7=25/7 OR 5X/7=25/7 OR 35X=175 OR X=175/25 OR X=5
PROOF 2*5/7+3*5/7=25/7 OR 10/7+15/7=25/7 OR 25/7=25/7