Solve the simultaneous equations frac 2 x - fra... - JAMB Mathematics 1997 Question
Solve the simultaneous equations (\frac{2}{x} - {\frac{2}{x}}) = 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 = \(\frac{3}{2}\)
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Correct Option: B
(\frac{2}{x} - {\frac{2}{x}}) = 2.....(1)
(\frac{4}{x} + {\frac{3}{y}}) = 10
(\frac{6}{x}) = 12 (\to) x = (\frac{6}{12})
x = (\frac{1}{2})
put x = (\frac{1}{2}) in equation (i)
= 4 - (\frac{3}{y}) = 2
= 4 - 2
= (\frac{3}{y})
therefore y = (\frac{3}{2})
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