SOLUTION: Hi, Can someone assist me with the following problem? x-5/x+4=2/7

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Question 125879:

Hi, Can someone assist me with the following problem? x-5/x+4=2/7
Found 2 solutions by jim_thompson5910, checkley71:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-5%29%2F%28x%2B4%29=2%2F7 Start with the given equation


7%28x-5%29=2%28x%2B4%29 Cross multiply


7x-35=2x%2B8 Distribute



7x=2x%2B8%2B35Add 35 to both sides


7x-2x=8%2B35 Subtract 2x from both sides


5x=8%2B35 Combine like terms on the left side


5x=43 Combine like terms on the right side


x=%2843%29%2F%285%29 Divide both sides by 5 to isolate x




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Answer:
So our answer is x=43%2F5 (which is x=8.6 in decimal form)

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(X-5)/(X+4)=2/7 IF THIS IS THE EQUATION THEN WE HAVE TO CROSS MULTIPLY.
7(X-5)=2(X+4)
7X-35=2X+8
7X-2X=8+35
5X=43
X=43/5 ANSWER.
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X-(5/X)+4=2/7 IF THIS IS THE EQUATION THEN:
(X^2-5)/X+4=2/7
(X^2-5)/X=2/7-4
(X^2-5)/X=(2-4*7)/7
(X^2-5)/X=(2-28)/7
(X^2-5)/X=-26/7 NOW CROSS MULTIPLY.
7(X^2-5)=-26X
7X^2-35+26X=0
7X^2+26X-35=0USING THE QUADRATIC EQUATION WE GET;
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
X=1.05 & -4.76