Given equations \ \

Equation (1) : -2x +  y  + 6z = 1

Equation (2) : 3x  + 2y + 5z = 16

Equation (3) : 7x  + 3y  - 4z = 11

We can solve it by using cramer\\'s rule :

We can write all equations in matrix AX=B form

Where

Form Matrix A_y , by substituting  matrix B in matrix A at middle(second) column

\ \

A is the 3×3 coefficient matrix, and A _y is the result of substituting the constant column for one of the coefficient columns in A . \ \

From Cramer\\'s rule

The solution is y = -3