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-6x-6y+z=32 -x+4y-8z=-61 3x+6y-4z=-53
7 + 4z = 437 + 4z -7 = 43 - 7 4z = 43 - 7 4z = 36 z = 9
4z-11=45 4z=56 z=14
The powers (exponents) of each variable in the equation is 1. For example 5x + 6y = 9 is a line in 2-dimensional space, 2x + 3y +4z = 7 is a line in 3-d space, etc.
4z + 820 is not an equation. It has no answer, because it asks no question.