Answer
Check Explanation
Step-by-step explanation
x + 2y = 12
-3x - 2y = 4
Kramer's rule involves first computing D, the determinant of the coefficients of the x and y terms
|1 2|
|-3 -2|
We then compute determinants to determine x and y by computing D₁, a determinant just like D, but with the coefficients of x replaced by the numbers on the right hand side of the equation
|12 2|
|4 -2|
Then, D₂, a determinant just like D, but with the coefficients of y replaced by the numbers on the right hand side of the equation
|1 12|
|-3 4|
We then solve for x by evaluating
(D₁/D) =
|12 2|
|4 -2|
÷
|1 2|
|-3 -2|
= (-24 - 8) ÷ (-2 + 6)
= -32 ÷ 4
= -8
We then solve for y by evaluating
(D₂/D) =
|1 12|
|-3 4|
÷
|1 2|
|-3 -2|
= (4 + 36) ÷ (-2 + 6)
= 40 ÷ 4
= 10
Hope this Helps!!!