Solving Linear Systems Graphing

Solve the following system by graphing. What is the solution?

• (3, -2)

• (3, -3)

• (-3, 2)

• (-3, -3)

Does the following system have One Solution, No Solution, or Infinite Solutions.  
y = 4x + 8
y = -5x + 3

• One solution

• No solution

• Infinite solution

Two lines in a linear system have the same slope and same y-intercepts. How many solutions does the linear system have?

• One Solution

• Two Solutions

• No Solution

• Infinitely Many Solutions

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?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• 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

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

What is the solution to the system?

8x + 4y = 12

y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

What's the solution to the system above?

• No Solution

• Infinitely Many Solutions

• (3, 4)

• (1, -1)