Question

verify that the values of the variables listed are solutions of the system of equations.

Answer 1

Step 1:

The system of equations are .

To eliminate the y value add the equations (1) and (2).

                             (4)

Multiply each side of the equation (2) by 2 and multiply each side of the equation (3) by 3 .

Subtract the above two equations.

 

Answer 2

Contd.....

Step 2:

Multiply each side of the equation (4) by 13 and multiply each side of the equation (5) by 4 .

Add the above two equations.

Substitute z = 2 in (4).

Substitute x = 2 and z = 2 in (1).

Solution:

x = 2 , y = -2  and z = 2 .