In the following system of equations, what's the value of D?
2x – 3y + 5z = 9 3x + y – 4z = 7 -x + 6y + z = 6
Hint
Remember the steps for finding the determinant: column trick, then plug and chug.
Answer
D = 142
Example 2
Using the determinant from the previous question, solve this system of equations. Just for giggles, give your answers as decimals rounded to one decimal place.
2x – 3y + 5z = 9 3x + y – 4z = 7 -x + 6y + z = 6
Hint
Remember the steps for other determinants: remove the variables you're solving for, replace them with the constant values, column trick, then plug and chug. At the very end, divide your fraction answers to get clean-lookin' decimals for x, y, and z. You've got this.