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

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Answer 1 · 2018-04-23T02:36:25

#x=15/4, y=-5/4#

We write this as two equations:

#x-y = 5#

#2x + 2y = 5#

Let's double the first:

#2x - 2y = 10#

Add to the second,

#4x = 15#

#x = 15/4#

#y = x-5 = -5/4#

Check:

#15/4 - -5/4 = 20/4 = 5 quad sqrt #

#2(15/4) + 2(-5/4) = 20/4 = 5 quad sqrt #