How do you solve the following system: 4x + 7y = 6, 2x + 3y = 34?

1 Answer
Alan P.
Dec 6, 2015

(x,y)=(110,-64)

Explanation:

Given:
[1]color(white)("XXX")4x+7y=6
[2]color(white)("XXX")2x+3y=34

Multiply [2] by 2 to give x the same coefficient as in [1]
[3]color(white)("XXX")4x+6y=68

Subtract [3] from [1] eliminating the x term
[4]color(white)("XXX")y=-62

Substitute (-62) for y in [2] and simplify to solve for x
[5]color(white)("XXX")2x+3xx(-62)=34

[6]color(white)("XXX")2x-186 = 34

[7]color(white)("XXX")2x= 220

[8]color(white)("XXX")x=110

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