Question

3x+2y=11,x-4y=13 elimination​

Answer 1

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3x+2y=11 -------- i

x-4y =13 ---------ii

Using elimination method...

on multiply the eqn ii by 3

we get,

3x -12y =13-----iii.

eqn iii - eqn ii

$3x - 12y = 13 \\ 3x + 2y = 11 \\ ( - ) \: \: \: ( - ) \: \: ( - ) \\ - 14y = 2 \\ y = \frac{ - 2}{14} \\ y = \frac{ - 1}{7}$

putting y =-1/7 in --i

$3x + 2 \times ( - \frac{1}{7} ) = 11 \\ 3x - \frac{2}{7} = 11 \\ 3x = 11 + \frac{2}{7} \\ 3x = \frac{77 -2 }{7} \\ x = \frac{79}{21}$

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