SOLUTION: Solve the following algebraically. You must show all your work.
1/4= 3- 2x-1/x+2
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Question 116894: Solve the following algebraically. You must show all your work.
1/4= 3- 2x-1/x+2
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Assume you mean:
= 3 -
:
Subtract 3 from both sides:
- 3 = -
:
- = -
:
= -
:
Get rid of the negatives multiply both sides by -1
=
:
Cross multiply
11(x+2) = 4(2x-1)
:
11x + 22 = 8x - 4
:
11x - 8x = -4 - 22
:
3x = -26
:
x = -26/3 or ~-8.67
:
:
It's tedious to check this value by substitution, however, did check using a calc and this annoying solution does check out.
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