Answer:
2, 3, 4 all have one solution.
Step-by-step explanation:
The first one has no solution.
The second one has a solution of -65/68.
The third one has a solution of 5.
The fourth one has a solution of 13/2.
Hope this helps!!
Let me know if I'm wrong...
Try choosing 7 democrats and then choosing a random republican
Solution in the attachment.
![\det\left[\begin{array}{ccc}4&2&-3\\5&-6&1\\0&2&-1\end{array}\right]=4\cdot\left|\begin{array}{ccc}-6&1\\2&-1\end{array}\right|-2\cdot\left|\begin{array}{ccc}5&1\\0&-1\end{array}\right|-3\cdot\left|\begin{array}{ccc}5&-6\\0&2\end{array}\right|](https://tex.z-dn.net/?f=%20%5Cdet%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%262%26-3%5C%5C5%26-6%261%5C%5C0%262%26-1%5Cend%7Barray%7D%5Cright%5D%3D4%5Ccdot%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D-6%261%5C%5C2%26-1%5Cend%7Barray%7D%5Cright%7C-2%5Ccdot%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D5%261%5C%5C0%26-1%5Cend%7Barray%7D%5Cright%7C-3%5Ccdot%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D5%26-6%5C%5C0%262%5Cend%7Barray%7D%5Cright%7C%20)
4x - 8y = 8
8y = 4x - 8
y = 1/2 x - 1
slope: 1/2
y-intercept:(0, -1)
Line perpendicular- negative reciprocal slope
y-(-1) = -2 (x-0) Hahaha I don't know what is the point slope form though hahaha not sure with this.
1/2 probability because 30 is half of 60.
