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katiebugg
 2 years ago
could some one help me with this question?!?!
When solving a system of equations, there are three possible solutions: a unique solution, no solution, or an infinite number of solutions. Use three or more sentences to describe each type of possible solution. For each type of solution, please describe what the graph would look like as well as what the algebraic solution would look like.
katiebugg
 2 years ago
could some one help me with this question?!?! When solving a system of equations, there are three possible solutions: a unique solution, no solution, or an infinite number of solutions. Use three or more sentences to describe each type of possible solution. For each type of solution, please describe what the graph would look like as well as what the algebraic solution would look like.

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jcyogi
 2 years ago
Best ResponseYou've already chosen the best response.0Question 2x+3y=17 y=6x21 179x=18y 12y=116x 3xy=13 2y=6x26 Answer 2x + 3y = 17 y = 6x  21 2x + 3y = 17 3y = 2x + 17 y = (2/3)x + (17/3) (2/3)x + (17/3) = 6x  21 2x + 17 = 18x  63 20x = 80 x = 4 y = 6(4)  21 y = 24  21 y = 3 Unique solution x = 4 y = 3  17  9x = 18y 9x + 17 = 18y y = (1/2)x + (17/18) 12y = 11  6x 12y = 6x + 11 y = (1/2)x + (11/12) Same slope, but different yintercepts No Solution  3x  y = 13 2y = 6x  26 3x  y = 13 y = 3x + 13 y = 3x  13 2y = 6x  26 y = 3x  13 Same slope and same yintercept … I'm not sure what a unique solution is... but no solution means there is no answer to the equation, the variables are not a solution, therefore on the graph the different lines of the equations will never cross. infinite solutions means that theres and unknown number of solutions, it goes on and on, the graph will be the lines of the equations will be on top of eachother.

jcyogi
 2 years ago
Best ResponseYou've already chosen the best response.0In a unique solution, the lines of each equation intersect at one point on a graph. The solution is (x, y), where x and y are definite numbers. In no solution, the lines do not intersect at all. They are parallel and have the same slope. In infinitely many solutions, the lines are exactly the same. There is no exact point for a solution; x and y could be any real number.

jcyogi
 2 years ago
Best ResponseYou've already chosen the best response.0>

colobikelawrider
 2 years ago
Best ResponseYou've already chosen the best response.1n a unique solution, the lines of each equation intersect at one point on a graph. The solution is (x, y), where x and y are definite numbers. In no solution, the lines do not intersect at all. They are parallel and have the same slope. In infinitely many solutions, the lines are exactly the same. There is no exact point for a solution; x and y could be any real number.
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