Below there are two equations; 1. 2x+3y=4 2. 4x+6y=8 can these equations have any solution? if it is then what is the solution and what is the common point where they meet? please tell me i am so confused...
No,this cant have any solution Now using determinants we could determine if it could have any solution its like this Example ax + by = c dx + ey = f if (a*e) - (d*b) != 0 i.e.. not equal to zero then the system of linear equation have a unique solution. In your case (2*6) - (4*3) = 0 so it will not give you a unique solution Good luck
The other way to see this is to recognize that both equations are essentially the same. If you multiply both sides of the first equation by 2 you get the second equation. Hence the equations are not independent and therefore have no unique solution. Both equations represent the same line and so they have an infinite number of points in common.