## horsegirl27 one year ago help please

1. horsegirl27

2. horsegirl27

Answer choices: -2/5 -5/2 2/5 5

3. horsegirl27

@pooja195

4. pooja195

Anytime you see paretheses we need to see if we can distribute $\huge~\rm~2/3(x-2)=4x$ can we?

5. anonymous

divide it, the answer is 5?

6. horsegirl27

yes

7. horsegirl27

So 2/3x -1 1/3=4x?

8. pooja195

something is not right $\huge~\rm~( 2 /3 )(x)+( 2/ 3 )(−2)=4x(Distribute)$

9. anonymous

sorry my mistake the answer is - 2/5

10. pooja195

@chris88 it would help if you explained your answer. @horsegirl27 what is 2/3*-2?

11. horsegirl27

ohhh i see my mistake, -1 1/3?

12. pooja195

turn that into an IMPROPER fraction

13. pooja195

$\huge~\rm~2 /3 x+ −4 /3 =4x$

14. pooja195

whats the next step?

15. pooja195

Subtract 4x from both sides. $\huge~\rm~2 /3 x-4x+ −4 /3 =4x-4x$ $\huge~\rm~-10/3-4/3=0$ Add 4/3 to both sides. $\huge~\rm~-10/3+4/3 −4 /3 =0+4/3$ $\huge~\rm~−10/ 3 x= 4/ 3$ multiply by the reciprocal (flip fraction to 3/-10) $\rm~( 3 −10 )*( −10 /3 x)=( 3/ −10 )*( 4 /3 )$

16. pooja195

17. anonymous

i dunno whether is correct or not, below is my solution: 2/3 = 4x / (x-2) 2(x-2) = 12x 2x - 4 = 12 x -4 = 12x-2x -4 = 10x x= 4/-10 x = -2/5

18. TheSmartOne

$$\sf\Large\frac{2}{3}(x-2)=4x$$ Multiply by the reciprocal of $$\sf\Large \frac{2}{3}$$ on both sides. The reciprocal of $$\sf\Large \frac{a}{b}$$ is $$\sf\Large \frac{b}{a}$$

19. TheSmartOne

After you tell me what you get, we can move on to the next step :P

20. horsegirl27

Sorry, my computer froze! xD

21. anonymous

yes, the smart one solution of reciprocal method is right :)

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