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

1 Answer

Jun 29, 2016

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.#

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