Systems of Equations by Substitution Method

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

• Run off the graph

• Don't touch

• Intersect

• Exist

Solve by Substitution:

y = -6

-3x - 6y = 24

• (6, 6)

• (6, -6)

• (4, -6)

• (-6, 4)

Solve the system of equations using the substitution method.

• (1, 3)

• (-7, -4)

• Infinitely Many Solutions

• (4.25, -.65)

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)

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

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

• corn: 146 acres; tomatoes: 123 acres; sunflowers: 61 acres

• corn: 152 acres; tomatoes: 112 acres; sunflowers: 56 acres

• corn: 117 acres; tomatoes: 98 acres; sunflowers: 42 acres

• corn: 134 acres; tomatoes: 114 acres; sunflowers: 84 acres

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.

• 4 cm by 13 cm

• 6 cm by 11 cm

• 9 cm by 5 cm

• 8 cm by 7 cm

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