Solve for x and y:

$x + y = 3, 4 x - 3 y = 26.$

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Solution

$x + y = 3$ .........(i)

$4 x - 3 y = 26$ ........(ii)

Multiply by 3 in the equation. (i) and then added with the equation. (ii)

$3 x + 3 y = 9$

$4 x - 3 y = 26$

By adding them we find

$7 x = 35$

$x = \frac{35}{7} = 5$

$x = 5$

Put the value of x in the equation (i)

$x + y = 3$

$5 + y = 3$

$y = 3 - 5 = - 2$

$y = - 2$

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