How do you solve the following system?: 13y=34x+5,32x−8y=2

1 Answer
Ho Kae Boon
Apr 1, 2018

x=−24433 y=−1811

Explanation:

(13)y=(34)x+5----(1)
(32)x−8y=2----(2)

Multiply (2) by (12)
(34)x−4y=1----(3)

Add(1)and(3), to makexdisappear
(13)y+(34)x−4y=(34)x+5+1
(34)x−(34)x+(13)y−4y=5+1
(−113)y=6
y=6⋅(−311)
y=−1811

Substitudey=−1811into(3)
(34)x−4(−1811)=1
(34)x+7211=1
(34)x=1−7211
(34)x=−(6111)
x=−(6111)⋅(43)
x=−24433

So, x=−24433 y=−1811

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