How do solve the following linear system?: $x+y=6 , 6x=29-8y$ ?

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Answer 1 · 2016-06-29T17:06:18

From the $1^(st)$ eqn., we have, $x=6-y........(1)$

Sub.ing this in the $2^(nd)$ eqn., we get, $6(6-y)=29-8y,$ i.e., $36-6y=29-8y,$ or, $36-29=6y-8y.$
$:.7=-2y,$ giving, $y=-7/2.$

Now from $(1)$ , we get, $x=6+7/2=19/2.$

Hence, the soln. is $x=19/2, y=-7/2.$

How do solve the following linear system?: x+y=6 , 6x=29-8y x+y=6 , 6x=29-8y ?