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.
Answer:
y = -3x + 17
Step-by-step explanation:
In this question, you have to put the given equation into slope intercept form.
Slope-intercept form: y = mx + b
Solve:
y - 2= -3(x - 5)
Use the distributive property to distribute the -3 to the variables inside the parenthesis.
y - 2 = -3x + 15
Add 2 to both sides to get "y" by itself.
y = -3x + 17
The slope intercept form of the line would be y = -3x + 17
There are NO SOLUTIONS.
Substitute the first equation for y in the second equation. You can see it does not work. 6 does not equal 8. Therefore there are no solutions.
We will owes 0 dollars cause 164 multiply by 12 = 1968
