find x,y,z and q!
Stacey Warren - Expert brainly.com
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This is the type of problem than when solved with normal algebra, takes multiple pages of work to finish. Of course, it can also be done with matrices. This is a particularly nasty problem, with four variables and decimals, so I won't even try the algebraic method. We will use matrices, with some help from a graphing calculator.
We will use two matrices, [A] and [B]. [A] will be a 4x4 matrix made of the coefficients from the four equations, like this:
99.2 4 0.3 0
100 71.8 2.1 0
100 100 98.4 6.8
1 1 1 1
[B] Will be a 4x1 matrix made up of the numbers to the right of each equals sign, like so:
After these are plugged into your graphing calculator, we can do a bit of math with them. The formula we will use is
This returns this 4x1 matrix:
These are the four coordinates you end up with, x, y, z, and q, in that order. We can also express the answer as this ordered pair: (0.350, 0.211, 0.134, 0.306).
I hope this helps!