MA129 Lecture Notes - Lecture 11: Microsoft Powerpoint
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When graphing a linear equation that has three variables, it is a plane, not a line. Possible solutions are and can be seen in the diagram below: single solution, points of a line in common, all points in common, no points in common. Consider the system of linear equations: (powerpoint, slide 14) (dr. allison) z x + y + 3 = 1. X + 2 5 = 4 x. 2 3 + z = 5 z y y. Adding equations (1) and (2) gives y. Subtraction equation (3) from two times equation (1) gives y + z = 3 (3) Solution: we can use elimination or substitution to solve (1) Using elimination works on 2 equations at once. For equations (1) and (2), add: z x + y + 3 = 1. For equations (1) and (3), subtract: y z z. We can label this equation as (4) z x + y + 3 = 1 ) (2.
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(0, 0) (0, 1) (1, 1) |
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Trinomial, degree 3 Trinomial, degree18 Trinomial, degree11 |
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False |
False |
False |
False |
False |
False |
False |