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mkumar441
 3 years ago
How can you say the set of linear equations are solvable or not?
For example:
2x+3y=4
x+2y=3
have a solution?. Based on what you say whether they have solution or not?
mkumar441
 3 years ago
How can you say the set of linear equations are solvable or not? For example: 2x+3y=4 x+2y=3 have a solution?. Based on what you say whether they have solution or not?

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hama
 3 years ago
Best ResponseYou've already chosen the best response.1You try to solve it and see if the result is correct. In this example, you multiply the second equation by 2 making it 2x + 4y = 6 and then you subtract the new second from the first to get rid of x and get y = 2 i.e. y = 2. You substitue this value in either equation to get x = 1 and since it checks out for both equations, then it's solvable and the solution is {1,2}

mkumar441
 3 years ago
Best ResponseYou've already chosen the best response.0thank you for your reply

precal
 3 years ago
Best ResponseYou've already chosen the best response.0if both lines cross at one point, then it has one solutiondw:1341765726344:dw

precal
 3 years ago
Best ResponseYou've already chosen the best response.0if both lines do not cross, then they have no solutionsdw:1341765746321:dw

precal
 3 years ago
Best ResponseYou've already chosen the best response.0if both lines are the same, then since they cross in many points, then they have infinitely many solutionsdw:1341765783010:dw image they are both straight lines
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