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Solving Simultaneous Linear Equation Using Cramer's Rule

Solve the fol...

Question

Solve the following simu1taneous equations.
(1) $5 x - 3 y = 8;$ $3 x + y = 2$

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Solution

Consider the equation $3 x + y = 2$
Multiply the quation by 3 so that we can eliminate y
$3 (3 x + y = 2) = 3 \times 2$
$9 x + 3 y = 6$
Adding it with $5 x - 3 y = 8$
$9 x + 3 y + 5 x - 3 y = 6 + 8$
$14 x = 14$
$x = 1$

Putting the value of x in equation $3 x + y = 2$
$3 \times 1 + y = 2$
$3 + y = 2$
$y = 2 - 3$
$y = - 1$

So, we have $x = 1 a n d y = - 1$

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