Solving Systems with Two and Three Variables

Using the substitution method, what is the solution to the quadratic system of equations above?

• (3, 2, 1/2)

• (9, 2, 3/2)

• (9, 2, 1/2)

• No Clue

Use elimination or substitution to solve the systems.

• (-2, -3, 3)

• (-2, 3, 3)

• (2, -3, 3)

Use elimination or substitution to solve the systems.

• (4, 0, 2)

• (-4, 0, -2)

• (4, 0, -2)

Use elimination or substitution to solve the systems.

• (1,3,1)

• (-1,3,1)

• (1,-3,-1)

What if you are solving a system and your variables cancel out and you end up with a statement such as: 1=12? What conclusion can you make about the system?

• the solution is 1

• there is no solution

• the solution is 12

• infinite solutions

What is the solution to the system?

• (-4,3,5)

• (2,-3,5)

• no solution

• infinitely many solutions

What if you are solving a system and the variables cancel out and you end up with a statement such as 3=3, what can you conclude about the system?

• the solution is 3

• there are no solutions

• you can't conclude anything

• there are infinite solutions

What is the solution to the system?

• (5,-3,2)

• (-3,5,2)

• no solution

• infinite solutions

What would you solve for First?

• Solve for x

• Solve for y

• Solve for z

• (5,3,4)

Solve the system of equations to find the value of z.

• 4

• -4

• 2

• -2