Three Variable Systems Practice

5) Solve the system of linear equations.

• (1, 0, -1)

• (-2, 1, 0)

• no solution

• infinitely many solutions

6) Solve the system of linear equations.

• (2, 2, 4)

• (2, 1, 7)

• no solution

• infinitely many solutions

7) Solve the system of linear equations.

• (3, -1, -4)

• (-3, 1, 4)

• no solution

• infinitely many solutions

8) Solve the system of linear equations.

• (3, -1, 1)

• (-3, -1, -1)

• no solution

• infinitely many solutions

Solve the system of equations.
x-3y=13
5x+6z=41
2x+4y-z=5

• (7,-2,1)

• (13,0,-4)

• (10,-1,11)

• (1,-4,6)

• x

• y

• z

2) Solve the system of linear equations.

• (-1, 1, 2)

• (2, 1, -1)

• no solution

• infinitely many solutions

It is easiest for this system to eliminate the variable...

• x

• y

• z

• It is equally simple to eliminate y or z, since they both require 2 multiplications.

Solve the System.

• ( -2, 3, -3)

• None of these

• ( -2, -3, 3)

• ( -3, 3, -2)

What is the first step in solving a system of equations with three variables?

• Solve for the two remaining variables.

• Use the two solutions to find the third variable.

• Eliminate one variable using two pairs of the equations.