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

Assessment: JAMB UTME - Mathematics - 1997 Subject: General Mathematics

Question 1 Report

x =

\frac{3}{2}

, y =

\frac{3}{2}

x =

\frac{1}{2}

, y =

\frac{3}{2}

x =

\frac{- 1}{2}

, y =

\frac{- 3}{2}

x =

\frac{1}{2}

, y =

\frac{3}{2}

Answer Details

\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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