MAT 122 Lecture Notes - Lecture 15: Enone, 7Z, Sport Utility Vehicle
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10x + 8y + 28z = 248: start by getting the rst row to have a coef cient of 1 for the x" variable. = x + 2y + 6z = 44 new rst row. Now try to get a coef cient of 0 for the x" variable in the other row. This is done by using the new rst row and other multiplication. Row2 - 10*row1 (10x + 8y + 28z = 248) = 0 - 12y - 32z = -192 new second row: next try to get a 1 coef cient for the y" variable in the second equation. This is done by multiplying (across the equation) by the reciprocal of the original coef cient. *notice that z" never starts and equation, therefore it is free to be whatever number: solve for the variables (combine -16/2z and 6z, then subtract from both sides. Also subtract 32 from both sides) (subtract 8/3z from both sides)
