Rational Equations Solve:

Question

How do you work it out?

1. x/4 - x+2/3 = 12
(x+2 are in the numerator)

2. 2y/4 - y/7 = y-3/2
(y-3 are in the numerator)

3. p/6 - 2p/5 = 4p-5/15
(4p-5 are in the numerator)

Answer 1

x/4 - (x+2)/3 = 12
multiply by 3*4 or 12 to clear fractions
3 x -4(x+2) = 144

3x - 4 x - 2 = 144

-x = 146

x = - 146

in the second one multiply through by 28 and in the third by 30

Answer 2

1. is -152

Answer 3

3 x -4(x+2) = 144

3x - 4 x - 8 = 144

-x = 152

x = - 152

Answer 4

how would you get 3. if the answer was 2/3

Answer 5

p/6 - 2p/5 = (4p-5)/15
multiply through by 30, the LCM(6,5,15)
5p - 12p = 2(4p-5)
-7p = 8p - 10
15p = 10
p = 2/3