MATH 1025 Lecture Notes - Solution Set
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A linear equation in x and y is an equation of the form Geometrically, if we plot all points (x, y) that satisfy such an equation in the xy-plane we will get If we instead plot all points (x, y, z) that satisfy this equation in 3d space In general, a linear equation in x, y and z, is an equation of the form Options: (a) x = 1 (b) x2 + y + z = 0 (c) y = x + z (d) xy = 1. 1: graph the linear equations x + y = 1 and x y = 1 on the axes below. Options: (a) (0, 0) (b) (1, 0) (c) (0, 1) (d) no common points y. A system of linear equations is a collection of linear equations, e. g We just saw that the point: this means that is a point on both lines in question is a solution to both of the equations: