Question

Solve the equation. Check the solution.

-2/x+4 = 4/x+3

Answer 1

\[\frac{ -2 }{x }+4=\frac{ 4 }{x }+3\]
Am i correct ?

Answer 2

if so, then
\[\frac{ 4 }{ x }+\frac{ 2 }{x }=4-3,\frac{ 4+2 }{x }=1,\frac{ 6 }{ x }=1,x=6\]

Answer 3

Sorry having some issues with the website and pages not loading but here are my answer choices
A. -13/6
B.-11
C. -8/3
D. -11/3

Answer 4

@surjithayer

Answer 5

@surjithayer correctly solved what you wrote, not what you meant.

If you are going to write it like that, it needs to be
\[-2/(x+4) = 4/(x+3)\]

Answer 6

\[\frac{-2}{x+4}=\frac{4}{x+3}\]Solve this by cross-multiplication:
\[-2(x+3) = 4(x+4)\]Expand both sides and solve for \(x\)

Answer 7

oh my bad :/\[\frac{ -2 }{ x+4 } = \frac{ 4 }{ x+3 }\]

Answer 8

how do you expand both sides?

Answer 9

\[-2(x+3) = 4(x+4)\]Just apply the distributive property of multiplication:\[a(b+c) = ab + ac\]

Answer 10

So that becomes \[-2*x -2*3 = 4(x+4)\]you do the rest...

Answer 11

Alright i think i got it thanks

Answer 12

what's your answer?

Answer 13

I got A

Answer 14

nope. show me your work, let's find the mistake.

Answer 15

OK so we start with the multiplication right? like with -2*3 = -6?

Answer 16

Yes, so the left side becomes \[-2x-6 = 4(x+4)\]What about the right side?

Answer 17

x + 16?

Answer 18

no...
\[4(x+4) = 4*x + 4*4 = \]

Answer 19

4x +16?

Answer 20

Right. Want to try solving for \(x\) again?
\[-2x-6 = 4x+16\]\[x=\]

Answer 21

Why don't you add \(2x\) to both sides of the equation and tell me what you get?

Answer 22

x-6 = 6x+16??

Answer 23

No.
\[-2x-6= 4x+16\]Add \(2x\) to each side:
\[-2x+2x-6 = 4x+16 + 2x\]\[0x - 6 = 6x +16\]\[-6 = 6x+16\]Can you solve that for \(x\)?

Answer 24

do you add 6 to both sides? Sorry im retaking algebra 2B and i nearly cant remember how to do a lot of things..

Answer 25

but i really appreciate you helping me

Answer 26

Yes, add 6 to both sides would be one way to go, or subtract 16 from both sides. I'll do both ways:
\[-6=6x+16\]\
\[-6+6 = 6x+16+6\]\[0=6x+22\]Subtract 22 from each side\[-22=6x\]Divide each side by 6\]\[\frac{-22}{6} = x\]Reduce that fraction by dividing top and bottom by 2\[-\frac{11}{3} = x\]

Or the way I would do it:
\[-6=6x+16\]\[-6-16 = 6x+16-16\]\[-22=6x\]and then the same finish

Answer 27

Alright thanks! :^) I really appreciate the help!

Answer 28

Remember, you can do just about anything to an equation as long as you do the same thing to both sides.