Find whether the following pair of linear equations are consistent or inconsistent 2x+y-6=0 and 4x-2y-4=0
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Answered by
5
A1/a2 not equal to b1/b2
2/4 not equal to 1/-2
so, these equations have a unique solution
consistent
2/4 not equal to 1/-2
so, these equations have a unique solution
consistent
Answered by
3
2x+y=6
y=6-2x
4x-2y=4
put y=6-2x
4x-2(6-2x) =4
4x-12+4x=4
4x+4x=4+12
8x=16
x=16÷2
x=2
put x=2in equation 2x+y=6
2×2+y=6
4+y=6
y=6-4
y=2
therefore, the following equations are consistent
y=6-2x
4x-2y=4
put y=6-2x
4x-2(6-2x) =4
4x-12+4x=4
4x+4x=4+12
8x=16
x=16÷2
x=2
put x=2in equation 2x+y=6
2×2+y=6
4+y=6
y=6-4
y=2
therefore, the following equations are consistent
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