Answer:
x = - y-12/5+4k
Step-by-step explanation:
<u>Solve 12-5x-4kx=y for x</u>
12-5x-4kx = y for x
substract 12 from both side
-5x-4kx = y-12
Factor of -5x-4kx = -x(5+4k)
-x(5+4k) = y-12
Solve for x
-x = y-12/(5+4k)
Therefore x = - y-12/5+4k
Answer:
100
Step-by-step explanation:
Just add
Answer:
252
Step-by-step explanation:
I look it up
Answer:
130
Step-by-step explanation:
You want the determinant of the matrix ...
![\left[\begin{array}{ccc}4&3&2\\-3&1&5\\-1&-4&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%263%262%5C%5C-3%261%265%5C%5C-1%26-4%263%5Cend%7Barray%7D%5Cright%5D)
One way to figure it is as the difference between the sum of products of the down-diagonals and the sum of products of the up-diagonals:
D = (4)(1)(3) +(3)(5)(-1) +(2)(-3)(-4) -(-1)(1)(2) -(-4)(5)(4) -(3)(-3)(3)
= 12 -15 +24 +2 +80 +27
D = 130
The determinant of the coefficient matrix is 130.
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Many scientific and graphing calculators and web sites can perform this calculation for you.