Systems of Linear Equations

Solve the system of equations by substitution.

y = 2x - 3

x = 4

Solve the system of equations by substitution.

2x + y = 9

y = 5x + 2

Solve the system of equations by substitution.

y = 3x - 2

y - 3x = 4

• (0,-2)

• (0,6)

• Infinite Solutions

• No Solution

Solve the system of equations using any method.

½x + 3/2y = -7

⅓y = 2x - 10

Rachel needs to print some of her digital photos. She is trying to choose between Lightning Fast Foto and Snappy Shots. Lightning Fast Foto charges a base fee of $5 plus an additional $0.20 per photo. Snappy Shots charges a base fee of $7 plus an additional $0.10 per photo. Determine the number of photos for which both stores will charge the same amount.

Raja is trying to decide which ice cream shop is the better buy. Cold & Creamy Sundaes charges $2.50 per sundae plus an additional $0.25 for each topping. Colder & Creamier Sundaes charges $1.50 per sundae plus an additional $0.50 for each topping. Determine the number of toppings for which both vendors charge the same amount.

Solve the system of equations by graphing.

y=2x-1

y=-3x-11

Solve the system of equations by graphing.

y=4x-30

y=-3x+5

Solve the system of equations by graphing.

-5x+10y=-10

y=½x-2

• (0,10)

• (0,-2)

• Infinite Solutions

• No Solution

Solve the system of equations by graphing.

y=3x+17

10x+5y=-15