What is the solution of the system of equations 2x+3y=7, x+y=32x+3y=7,x+y=3?

1 Answer
Alan P.
Jan 5, 2017

(x,y)=(2,1)(x,y)=(2,1)

Explanation:

Given
[1]color(white)("XXX")2x+3y=7XXX2x+3y=7
[2]color(white)("XXX")x+y=3XXXx+y=3

Subtracting 2xx2×[2] from [1]
color(white)("XXX"){:(,,2x,+3y,,=,7),(underline(-),underline("("),underline(2x),underline(+2y),underline(")"),underline(=),underline(6)),(,,,y,,=,1) :}

Substituting 1 for y in [2] gives
color(white)("XXX")x+1=3

color(white)("XXX")rarr x=2

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