Solution
The given equations are 2x - 3y = 8 and 4x - 6y = 9
They can be written as 2x - 3y -8 = 0 and 4x - 6y - 9 = 0
Comparing these equations with a1x+b1y+c1=0 and a2x+b2y+c2=0, we get:
a1=2,b1=−3,and
c1=−8
a2=4,b2=−6and
c2=−9
a1a2=24=12
b1b2=−3−6=12 and
c1c2=−8−9=89
Hence, a1a2=b1b2≠c1c2
Therefore,
these linear equations represent parallel lines and thus have no possible solution.
Hence, the pair of linear equations is inconsistent.