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HAYDENdfg
HAYDENdfg asks:
Q:

I need help with the equation: 3/(X+2)+1=4/(X+1)

THOSE ARE FRACTIONS PLEASE HELP
In Topics: Tests (preparing, taking, anxiety!), Helping my child with math
> 60 days ago

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Answers (1)

Maverick
Maverick , Teacher writes:
Let's start by simplifying the left hand side

3/(x+2) + 1 = 3/(x+2) + (x+2)/(x+2) = (x+5)/(x+2).

The equation now simplifies to

(x+5)/(x+2) = 4/(x+1).

Using cross-multiplication (http://en.wikipedia.org/wiki/Cross-multiplication), we get

(x+2)4 = (x+5)(x+1).

Let's distribute the equation.

4x + 8 = x^2 + 6x + 5

Next, rearrange the terms:

x^2 +2x -3 = 0

The final step is to factor it

(x+3)(x-1) = 0

x = -3,1

Cheers :)
> 60 days ago

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