How do you solve #8x-2y+5z=10#, #-2x+10y-3z=0#, and #-5x-3y+10z=0# using matrices?
One method would be to use Cramer's Rule to get
Cramer's Rule tells us that the quotient of:
the determinant of the coefficient matrix with the term's column replaced by the answer column
the determinant of coefficient matrix
Here's what it looks like: