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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?
 one year ago
 one year 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?
 one year ago
 one year ago

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hamaBest ResponseYou've already chosen the best response.1
You 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}
 one year ago

mkumar441Best ResponseYou've already chosen the best response.0
thank you for your reply
 one year ago

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

precalBest ResponseYou've already chosen the best response.0
if both lines do not cross, then they have no solutionsdw:1341765746321:dw
 one year ago

precalBest ResponseYou've already chosen the best response.0
if 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
 one year ago
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