Question

Find whether the following pair of linear equations are consistent or inconsistent 2x+y-6=0 and 4x-2y-4=0

Answer 1

A1/a2 not equal to b1/b2
2/4 not equal to 1/-2
so, these equations have a unique solution
consistent

Answer 2

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