1) when using cramer's rule to solve the system of equations containing 5x - y = 5 and -3x + y = -9 the denominator for the x and y variables looks like which of these determinants ? a) |5 5 | b) |5 -1

Question

1) when using cramer's rule to solve the system of equations containing 5x - y = 5 and -3x + y = -9 the denominator for the x and y variables looks like which of these determinants ? a) |5 5 | b) |5 -1 
                   |-3 9|   |-3 1|
                    c) |5 -1| 
                       |-9 1| 
d) none of these

2) when using cramer's rule to solve the system of equations containing 3x - 6y = 9 and -4x + 2y = -6 the numerator for the x  variable looks like which of these determinants ?
 a) |3 -6|  b) |9 -6| c) |-6 2|    
    |4 2|      |-6 2|    |3  4|       d) none of these

can someone assist me with this? I'm having trouble

MathMate · Answer

The denominator is composed of a determinant made up of the left-hand side of the equation.
The numerator of the variables is made up a determinant of the left-hand side, but with the corresponding column replaced with the vector of the right hand side.