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How do you solve the following linear system: # -2x+5y=4, 4x+5y=-2 #?

1 Answer

Alan P. · Stefan V.

Feb 8, 2016

#(x,y)=(-1,2/5)#

Explanation:

Given
[1]#color(white)("XXX")-2x+5y=4#
[2]#color(white)("XXX")4x+5y=-2#

Subtract [1] from [2]
[3]#color(white)("XXX")6x=-6#

Divide both sides of [3] by #6#
[4]#color(white)("XXX"color(green)(x=-1)#

Substitute #(-1)# from [4] for #x# in [1]
[5]#color(white)("XXX")-2xx(-1)+5y=4#

Simplify [5]
[6]#color(white)("XXX")5y=2#

Divide both sides of [6] by #5#
[7]#color(white)("XXX")color(green)(y=2/5)#

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