Question

Solve( x+1)/ (3x-1) =( x+4)/(2x+6)
The answer is {-5, 2}
Just need to show the work

Answer 1

as the math teachers say "cross multiply" and get
\[(x+1)(2x+6)=(3x-1)(x+4)\]
then you still have a raft of work to do to solve that quadratic equation

Answer 2

It doesn't seems I got the right answer when it's suppose yo be (-5,2)

Answer 3

it is in fact \(-5\) and \(2\)

Answer 4

Well how do you get there?

Answer 5

I did the foil in the cross multiply and combined the like-terms

Answer 6

how did i get it?

Answer 7

And I did the ________ x_______=12 and ______+______=8
_______x______=-12 and ______+_______=11

Answer 8

\[2 x^2+8 x+6 = 3 x^2+11 x-4\]

Answer 9

\[x^2+3 x-10 = 0\]

Answer 10

Yeah, I got the foil

Answer 11

factor and done

Answer 12

How did you get x^2+3x-10=0?

Answer 13

\[2 x^2+8 x+6 = 3 x^2+11 x-4\] it is a quadratic, you need to set it equal to zero
subtract all terms from the left hand side to get
\[0=x^2+3x-10\]

Answer 14

Ohh, Okay thanks!

Answer 15

yw