Solving Linear Systems Graphing Substitution Elimination

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

• x + y = 1550
  y  = 4x

• x + y = 1550
  y = x + 4

• y - x = 1550
  y = 4x

• y = 1550 + x
  y = x + 4

Solve the system of equations by substitution.

5x - 4y = -15

y = -4x - 12

• (3, 0)

• (-3, 0)

• (3, 24)

• (-3, 24)

Determine if (4, 1) is a solution for the system of equations.

y = -x + 5

y = 2x - 7

• yes

• no

Given the equation y = 7x + 11, write another equation that will result in “No Solution” when both equations are graphed.

• y = -7x

• y = 1/7x

• y = 7x + 2

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

• $5

• $10

• $15

• $20

Whats the solution to the system above?

• No Solution

• Infinitely Many Solutions

• (2, 5)

• (2, -5)

Does the system have one, none or infinite solutions?

• (-1.5,-4)

• (1.5,4)

• No solution (parallel lines)

• Infinitely many solutions

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions