Simultaneous equations - Jamb Mathematics Past Questions and Answers

Question 31:

• JAMB 1994

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

A. 3
B. 4
C. 5
D. 6

Question 32:

• JAMB 1994

Find P if \(\frac{x - 3}{(1 - x)(x + 2)}\) = \(\frac{p}{1 - x}\) + \(\frac{Q}{x + 2}\)

A. \(\frac{-2}{3}\)
B. \(\frac{-5}{3}\)
C. \(\frac{5}{3}\)
D. \(\frac{2}{3}\)

Question 33:

• JAMB 1997

Solve the simultaneous equations \(\frac{2}{x} - {\frac{3}{y}}\) = 2, \(\frac{4}{x} + {\frac{3}{y}}\) = 10

A. X = \(\frac{3}{2}\), y = \(\frac{3}{2}\)
B. X = \(\frac{1}{2}\), y = \(\frac{3}{2}\)
C. X = \(\frac{-1}{2}\), y = \(\frac{-3}{2}\)
D. X = \(\frac{1}{2}\), y = \(\frac{3}{2}\)

Question 34:

• JAMB 1998

Given that log₄(Y - 1) + log₄(\(\frac{1}{2}\)x) = 1 and log₂(y + 1) + log₂x = 2, solve for x and y respectively

A. 2, 3
B. 3, 2
C. -2, -3
D. -3, -2

Question 35:

• JAMB 1998

Find the value of k if \(\frac{k}{\sqrt{3} + \sqrt{2}}\) = k\(\sqrt{3 - 2}\)

A. 3
B. 2
C. \(\sqrt{3}\)
D. \(\sqrt 2\)