Solving a Three Variable System of Equations

What is the substitution method used for in solving a system of equations?

• To solve a system of equations

• To write a novel

• To calculate the area of a circle

• To bake a cake

Solve the System.

• ( -2, 3, -3)

• None of these

• ( -2, -3, 3)

• ( -3, 3, -2)

Solve the system of equations, and then sum up the x, y, and z values for the final answer below:

• 5, z is the smallest

• 6, z is the smallest

• None of these

• 0, x is the smallest

Solve the system.

• (1, 2, -2)

• (1, -3, -2)

• (-1, 3, 2)

• No Solution

Solve the system.

• (3, -2, 4)

• (2, -3, 1)

• (-3, 2, -1)

• Infinitely many solutions

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

Solve the system.

• (2, -2, 3)

• (2, 1, 4)

• (-2, 2, -3)

• No Solution

For the system of equations:
A:   3x - 2y + 4z =  9
B:   -2x + y - 2z = -8
C:   6x - 4y + 5z = 22
A good option for solving this would be:

• take 2 times A + B to get equation D,
   then take 4 times B + C to get equation E.

• Take  A + 2 times B to get D, then
  take 2 times A + C to get E.

• take 2 times B + A to get D, then
  take -2 times A + C to get E.

• Add A + B + C to get the answer.

What would you solve for First?

• Solve for x

• Solve for y

• Solve for z

• (5,3,4)