How do solve the following linear system?: 3x−2y=2,5x−5y=10?

1 Answer
EZ as pi
Aug 15, 2016

x=−2andy=−4

Explanation:

The elimination method is the best option here.

3x−2y=2 ...................................A
5x−5y=10..................................B

Ax-5: −15x+10y=−10................................C
Bx2: 10x−10y=20.......................................D

C+D: −5x =10
x=−2
Sub in A: 3(−2)−2y=2
−6−2y=2
−6−2=2y
−8=2y
−4=y

Check in b:

5(−2)−5(−4)=−10+20=10

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