6.1-6.3 Systems of Equations

6.1-6.3 Systems of Equations - 6.1: Systems of Equations in...

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Unformatted text preview: 6.1: Systems of Equations in Two Variables A system of equations is a collection of two or more equations for which a common solution is sought. For two equations in two variables, the set of ordered pairs that satisfy both equations is the solution set of the system. Solving by graphing: The line for each equation is graphed on the same plane. If the lines cross at one point , the ordered pair that describes that point is the solution set; the system in independent . If the lines are parallel , there is no solution ; the system in inconsistent . If the two lines are the same , there are infinitely many solutions ; the system is dependent . Determine whether the ordered pair is a solution to the system: 1. (3, -4); 3 4 25 5 2 7 x y x y- = + = 2. (-4, -7); 3 4 16 5 2 6 x y x y- = + = Graph the following: 3. y = x + 4 4. 3y 3x = 9 3y 5x = 6 x y = -1-4-3-2-1 1 2 3 4 5 6 7-4-3-2-1 1 2 3 4 5 6 7 8 9 x y -4-3-2-1 1 2 3 4 5 6 7-4-3-2-1 1 2 3 4 5 6 7 8 9 x y 5. 2x 3y = 6 6. x + 3y = -3 y x = - 2 3 2 4x 3y = 18-4...
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6.1-6.3 Systems of Equations - 6.1: Systems of Equations in...

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