Solve the simultaneous equations 2x−2x 2 x − 2 x = 2, 4x+3y 4 x + 3 y = 10

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

Question 1 Report

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

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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Solution Of Linear Equations

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Solve the simultaneous equations 2x−2x 2 x − 2 x = 2, 4x+3y 4 x + 3 y = 10

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