SOLUTION: I have an exam in just a little more than an hour. I am going over my review for the exam and there are 2 problems that I have the answers for, because they have given us that but

Algebra ->  Equations -> SOLUTION: I have an exam in just a little more than an hour. I am going over my review for the exam and there are 2 problems that I have the answers for, because they have given us that but      Log On


   

Question 535794: I have an exam in just a little more than an hour. I am going over my review for the exam and there are 2 problems that I have the answers for, because they have given us that but I need to know how to go about solving the probelems. Anyone's help is greatly appreciated!!!
_x+4_ = _x+10___
x-3 x+2
Not sure if this makes any sense... I am not sure how to type this up.. It is fractions. x+4 is over x-3 and then it is = in the middle with x+10 above x+2.
The other one that I am struggling with is this
__5__ + _3__ = 1
3x x
This is the same it is a fraction but instead of it being a fraction at the end it is an equals sign with a 1. Thanks so much!
Found 2 solutions by ankor@dixie-net.com, Earlsdon:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%2B4%29%29%2F%28%28x-3%29%29 = %28%28x%2B10%29%29%2F%28%28x%2B2%29%29
Cross multiply
(x+4)(x+2) = (x-3)(x+10)
FOIL
x^2 + 2x + 4x + 8 = x^2 + 10x - 3x - 30
x^2 + 6x + 8 = x^2 + 7x - 30
Combine the x's on the left, combine the numbers on the right
x^2 - x^2 + 6x - 7x = -30 - 8
-x = -38
which is
x = 38
Check this in the original problem
:
5%2F%283x%29 + 3%2Fx = 1
Multiply by 3x
3x*5%2F%283x%29 + 3x*3%2Fx = 3x(1)
Cancel the denominators, and you have:
5 + 3(3) = 3x
14 = 3x
x = 14/3
x = 42%2F3
:
:
Check this in the original, you can use 4.67 to do this on a calc, it should be very close to 1

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
1) %28x%2B4%29%2F%28x-3%29+=+%28x%2B10%29%2F%28x%2B2%29 Cross-multiply.
%28x%2B4%29%28x%2B2%29+=+%28x%2B10%29%28x-3%29 Perform the indicated multiplication.
x%5E2%2B6x%2B8+=+x%5E2%2B7x-30 Subtract x%5E2 from both sides.
6x%2B8+=+7x-30 Subtract 6x from both sides.
8+=+x-30 Add 30 to both sides.
38+=+x or highlight%28x+=+38%29
---------------------------------------
2) 5%2F%283x%29%2B3%2Fx+=+1 Use the common denominator of 3x to add the two fractions.
5%2F%283x%29%2B3%2A3%2F3x+=+1
%285%2B9%29%2F3x+=+1 Multiply boh sides by 3x.
14+=+3x Divide both sides by 3.
14%2F3+=+x or x+=+42%2F3