Step 1
Given system of equations are
4x-y-z=1
2x+2y+3z=10
5x-2y-2z=-1
Firstly, we will find determinant of coefficient matrix.
D=4(-4+6)+(-4-15)-(-4-10)=8-19+14=3
Step 2
Now, we will find the following determinants.
Now, solution of given system of equations is
x=1,y=1,z=2
Step 3
Result: Solution of given system of equations is
x=1, y=1, z=2