How do you solve x+y=3 3x-y=17?

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Answer 1 · 2018-02-26T22:55:14

#x=5, y=-2#

We have a system of equations in #x,y#

#{: (x+y =3 ), (3x-y =17) :}} #

Add the 1st eqn. to the 2nd.

#4x=20 rArr x=5#

Solve for #y# using the 1st eqn.

#y=3-x=3-5=-2#

So the set of solutions is #(5,-2)#