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

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) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Cross multiply

Distribute

Add 35 to both sides

Subtract 2x from both sides

Combine like terms on the left side

Combine like terms on the right side

Divide both sides by 5 to isolate x

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Answer:
So our answer is (which is in decimal form)

Answer by checkley71(8403) (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=1.05 & -4.76

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