## Smarticles14 Group Title solve the equation (7a/3a+3)-(5/4a-4)=(3a/2a+2) one year ago one year ago

1. xon1300 Group Title

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

2. Smarticles14 Group Title

yes

3. cinar Group Title

a=3, a=-1/2

4. Smarticles14 Group Title

5. cinar Group Title

multiply 12 both side

6. cinar Group Title

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

7. cinar Group Title

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

8. cinar Group Title

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

9. cinar Group Title

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

10. cinar Group Title

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

11. cinar Group Title

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

12. Smarticles14 Group Title

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

13. ConfuzzledX10 Group Title

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 Group Title

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..