MAT1033 Lecture 28: 6.2 Systems of Equations in Three Variables Notes
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6. 2 systems of equations in three variables notes: sterling. Provide a generalization to each of the key terms listed in this section. The following is the general equation with three variables: Instead of (x, y) being its general solution, it"s now (x, y, z), which is also called an ordered triple , thanks to the third variable, which is z. xyz-coordinate system. The xy-coordinate system is a 2-dimensional whereas the xyz-coordinate system is a 3-dimensional, which is also thanks to the third variable, which is z. The following would be the structure on how each of the three planes act as if it was a room corner: F loor xy plane yz plane one w all xz plane other w all. Solve one of the three equations for either of the three variables in terms of the other variable. Substitute the solved expression into the other equation and solve for the rst variable.