What does y equal in the solution of the system of equations?

Question

-2x+y+6z=1 3x+2y+5z=16 7x+3y-4z=11?

Answer 1

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 ,

A _y is the result of substituting the constant column(matrix B) in matrix A at middle(second) column.

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