Solve the following equation \( \frac{2}{2r-1} - \frac{5}{3} = \frac{1}{r+2} \)

Assessment: JAMB UTME - Mathematics - 1985 Subject: General Mathematics

Question 1 Report

Solve the following equation \( \frac{2}{2r-1} - \frac{5}{3} = \frac{1}{r+2} \)

Answer Details
2 2 r − 1  -  5 3  =  1 r + 2
2 2 r − 1  -  1 r + 2  =  5 3
2 r + 4 − 2 r + 1 2 r − 1 ( r + 2 )  =  5 3
5 ( 2 r + 1 ) ( r + 2 )  =  5 3
5(2r - 1)(r + 2) = 15
(10r - 5)(r + 2) = 15
10r2 + 20r - 5r - 10 = 15
10r2 + 15r = 25
10r2 + 15r - 25 = 0
2r2 + 3r - 5 = 0
(2r2 + 5r)(2r + 5) = r(2r + 5) - 1(2r + 5)
(r - 1)(2r + 5) = 0
r = 1 or 
Read lesson note on Solution Of Linear Equations (WAEC)
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