Question

is the system of linear equation 2x+3y-9=0 and 4x+6y-18=0 consistent? justify your answer.

Answer 1

Ok so
2x+3y-9=0
4x+6y-19=0
a1X/a2X = 2/4 = 1/2
b1y/b2y = 3/6 = 1/2
c1/c2 = -9/-18 = 1/2

By Verification Formula
a1X/a2X = b1y/b2y = c1/c2

Thus lines are consistent

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Answer 2

Yes,

The given system of linear equations are consistent.

FOR EXPLANATION CHECK THE ATTACHMENT GIVEN BELOW .

Hope it helps you friend.