Systems of Equations Solve by Any Method

Identify which method for solving systems is being described by this fact: Equations must have like terms "stacked" up vertically, usually written in standard form.

• Graphing

• Substitution

• Elimination (linear combination)

When solving the system, if you get a result of something like 6 = 6 or -2 = -2 and the answer is:

• No Solution

• Infinitely Many Solutions

• Not possible

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

Solve this system by substitution.

• (1, -4)

• (1, 4)

• (-4, -7)

• (-7, -4)

Solve the system of equations using any method. Explain why you chose this method,

• (-0.5, 2)

• (4.5, 8)

• (-.75, -3)

• No Solution

Solve the system of equations using the substitution method.

• (-4, 11)

• (6.75, -2.25)

• No Solution

• (7.75, -.125)

Solve the system of equations using the substitution method.

• (1, 3)

• (-7, -4)

• Infinitely Many Solutions

• (4.25, -.65)

Define the variables, set up a system of equations and solve using the substitution method.

• 2 Buses & 3 Vans

• 3 Buses & 2 Vans

• 4 Buses & 2 Vans

• 2 Buses & 4 Vans

Determine if the system has one solution, infinitely many solutions, or no solution.

• One Solution

• Infinitely Many Solutions

• No Solution

Solve the system of equations using any method. Explain why you chose this method,

• No Solution

• (-3, 7)

• (8, 4)

• (4, 10)