Examine the consistency of the following system of linear equations: 2x-y+7=0, x+3y-20=0.
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2x-y=-7, ___________(1)
x+3y=20___________(2)
multiply equal (2)by 2
2x+6y=40__________(3)
sub equation (3)-(1).
2x+6y= 40
- 2x-y = -7
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0+7y=47
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y=47/7
put the value of y in equity (2)
x+(3×47/7)=20
(7x+141)/7=20
7x+141=140
7x=140-141
7x=-1
x=-1/7
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