2x_y=5,4×-2y=12 check weather equation is consistent or inconsistent
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2x-y -5 =0----(1)
4x-2y-12=0-----(2)
compare above equations with a1x+b1y+c1=0 and a2x+b2y+c2=0
a1=2,b1=-1,c1=-5
a2=4,b2=-2,c2=-12
a1/a2= 2/4= 1/2---(3)
b1/b2=- 1/-2 = 1/2----(4)
c1/c2= -5/-12---(5)
a1/a2= b1/b2≠ c1/c2
therefore
above equations are inconsistent, and parallel lines
4x-2y-12=0-----(2)
compare above equations with a1x+b1y+c1=0 and a2x+b2y+c2=0
a1=2,b1=-1,c1=-5
a2=4,b2=-2,c2=-12
a1/a2= 2/4= 1/2---(3)
b1/b2=- 1/-2 = 1/2----(4)
c1/c2= -5/-12---(5)
a1/a2= b1/b2≠ c1/c2
therefore
above equations are inconsistent, and parallel lines
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