# Question 72c73

Feb 15, 2017

$x = 3 , y = 2$

#### Explanation:

$3 x - 2 y = 5$ --->a
$2 x + 3 y = 12$ ---->b

to eliminate $y$, multiply $a$ by 3 and $b$ by 2 and add both equations

$9 x - 6 y = 15$
$4 x + 6 y = 24$
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$13 x = 39$
$x = \frac{39}{13} = 3$

to eliminate $x$, multiply $a$ by 2 and $b$ by 3 and deduct both equations

$6 x - 4 y = 10$
$6 x + 9 y = 36$
#-------------------

$- 13 y = - 26$
$y = \frac{- 26}{-} 13 = 2$