## Smarticles14 3 years ago solve the equation (7a/3a+3)-(5/4a-4)=(3a/2a+2)

1. xon1300

Is this the equation? $\frac{ 7a }{ 3a+3 } - \frac{ 5 }{ 4a-4 } = \frac{ 3a }{ 2a+2 }$

2. Smarticles14

yes

3. cinar

a=3, a=-1/2

4. Smarticles14

5. cinar

multiply 12 both side

6. cinar

take the right term to left and second term on the left to right..

7. cinar

$\frac{ 28a }{ a+1 } - \frac{ 18a }{ a+1 }=\frac{ 15}{ a-1 }$

8. cinar

$\frac{ 10a }{ a+1 } =\frac{ 15}{ a-1 }$

9. cinar

$\frac{ 2a }{ a+1 } =\frac{ 3}{ a-1 }$

10. cinar

$2a(a-1)=3(a+1)$

11. cinar

2a^2-2a=3a+3 2a^-5a-3=0 (2a+1)(a-3)=0 a=3 a=-1/2

12. Smarticles14

ok thank you i got it can you help me with this one 1=(1/1-a)+(a/a-1)

13. ConfuzzledX10

i don't understand why you times everything by 12? I get that it's the least common denominator so are you trying to find the least common denominator of the numbers that have a variable after them or what?

14. cinar

yes 12 is the lcm of 2,3,4. you don't need to do that, but this is one way to solve it and it makes our job easier, at least for me..