what is the condition for two equation are consistent
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A system of linear equations ax + by + c = 0 and dx + ey + g = 0 will have a unique solution if the two lines represented by the equations ax + by + c = 0 and dx + ey + g = 0 intersect at a point. i.e., if the two lines are neither parallel nor coincident.
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The equations a1x2 + b1x + c1 = 0 and a2x2 + b2x + c2 can be consistent in two cases they are:
1) a1/a2 = b1/b2 = c1/c2 ( infinitely many solution )
2) a1/a2 not equal to b1/b2 ( unique solutions )
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