check weather the following equations consistent or inconsistent graphically 2x_y=5,4x_2y=12
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Answered by
2
2x-y-5=0----(1)
4x-2y-12=0----(2)
compare the equations with a1x+b1+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----(4)
c1/c2=-5/-12---(5)
therefore
(3)=(4)not equals to (5)
above equations are inconsistent and parallel and they doesn't has any solution
4x-2y-12=0----(2)
compare the equations with a1x+b1+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----(4)
c1/c2=-5/-12---(5)
therefore
(3)=(4)not equals to (5)
above equations are inconsistent and parallel and they doesn't has any solution
Answered by
0
a1/a2=b1/b2=c1/c2
2/4=-1/-2is not equal to 5/12
so it is inconsistent
2/4=-1/-2is not equal to 5/12
so it is inconsistent
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