Write the system in a matrix equation. Then, find the determinant of the matrix containing the coefficients.
1 answer:
Answer:
See below for the matrix
D = 100
Step-by-step explanation:
![\left[\begin{array}{cccc}3&2&1&-8\\-1&-2&4&7\\1&-6&-3&15\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D3%262%261%26-8%5C%5C-1%26-2%264%267%5C%5C1%26-6%26-3%2615%5Cend%7Barray%7D%5Cright%5D)
3 2 1
D = -1 -2 4 = 3(-2)(-3) + 2(4)(1) + 1(-1)(-6)
1 -6 -3
- 1(-2)(1) - 3(4)(-6) - 2(-1)(-3)
= 18 + 8 + 6 + 2 + 72 - 6
= 100
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X = 20
Square both sides:
5x = 100
x = 20
subtract 2x from both sides... 6x=2 divide by 6 = .3
Gradient = change in y /change in x so -6-2 =-8 / -16-4 = -20 so -8/-20 = 0.4 so gradient = 0.4
945 rounded to the nearest ten is 950