Question

find the value of x is 2 x + 3 Y + 1 equal to 12 and X + 6 Y + 2 equal to 18

Answer 1

$2x + 3y + 1 = 12 - - - - > 1 \\ x \: \: + 6y + 2 = 18 - - - - - > 2$

Eq. 1 - Eq. 2 x 2,
$\: \: \: 2x + 3y + 1 = 12 \\ - 2x + 12y + 4 = 36 \\ - \: \: \: \: \: - \: \: \: \: \: \: \: \: - \: \: \: \: \: \: - \\ - - - - - - - - - - \\ \: \: \: \: \: \: \: \: \: \: \: - 9y - 3 = - 24 \\ = > \: \: \: - 9y = - 21 \\ = > y = \frac{ - 21}{ - 9} \\ = > y = \frac{7}{3}.$

Putting this value in eq. 2,
$x = 2.$


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