Substitution Method Systems

What is the first step to using the substitution method for solving a system of equations?

• Solve both equations for y.

• Solve both equations for x.

• Write both equations in standard form.

• Solve on equation for x or y.

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

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.

• (-7, 4)

• Infinitely Many Solutions

• (13, -5)

• (0, -8)

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

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

• One Solution

• Infinitely Many Solutions

• No Solution

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

• 6 dimes & 11 quarters

• 5 dimes & 13 quarters

• 8 dimes & 4 quarters

• 7 dimes & 12 quarters