How do you determine the solution in terms of a system of linear equations for -2x + 3y = 14, x - 4y = 11?

1 Answer
Alan P.
Oct 6, 2015

(x,y) = (-17.8,-7.2)

Explanation:

[1]color(white)("XXX")-2x+3y=14
[2]color(white)("XXX")x-4y=11

Multiply [2] by 2
[3]color(white)("XXX")2x-8y=22

Add [1] and [3]
[4]color(white)("XXX")-5y=36

Divide [4] by (-5)
[6]color(white)("XXX")y = -36/5=-7.2

Substituting (7.2) for y in [1]
[7]color(white)("XXX")-2x+3(-7.2)=14

[8]color(white)("XXX")-2x-21.6=14

[9]color(white)("XXX")-2x=35.6

[10]color(white)("XXX")x = -17.8

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