SOLUTION: Solve the following equations and inequality for x. If the solution is extraneous, please state that it is. Please show me all work for a better understanding.
5/2x+3 = 4/x
Not
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Question 1068492: Solve the following equations and inequality for x. If the solution is extraneous, please state that it is. Please show me all work for a better understanding.
5/2x+3 = 4/x
Note: 2x+3 is the whole denominator. It is part of the first fraction and all of it is underneath the numerator.
Thank you kindly.
Found 2 solutions by josgarithmetic, ankor@dixie-net.com:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
5/(2x+3)=4/x
The simplest common denominator is .
Multiply BOTH SIDES of the equation by , simplify and solve.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
=
Cross multiply
4(2x+3) = 5x
8x + 12 = 5x
8x - 5x = -12
3x = -12
x = -12/3
x = -4
:
Check in the original equation, will confirm it as a good solution
=
= -1
= -1
-1 = -1
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