Solving Linear Systems Using Graphing

^{What is the solution? (Where do they cross?)}

• 1

• -2

• (1, 2)

• (1, -1)

What is the solution to the system?

• (3, -1)
• (2, -6)
• No Solution 
• (6, -2)

Solve by graphing. (use the graphs I sent home with you)

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve this system of equations by graphing. 
y = 2/3x - 2
y = -x + 3

• (0,3)
• (0,-3)
• (3,0)
• (-3,0)

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

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

Solve by graphing:

8x + 4y = 12

y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Solve by graphing:

y = 2x -11

-3y = -6x -15

• (-1.5,-4)

• (1.5,4)

• No solution (parallel lines)

• Infinitely many solutions

Solve this system of equations by graphing. 
y = 2/3x - 2
y = -x + 3

• (0,3)
• (0,-3)
• (3,0)
• (-3,0)

Solve by graphing.
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Solve this system of equations by graphing. 
y = 1/2x + 2
y = -3x + 9

• (2,3)
• (-2,-3)
• (3, 2)
• (-3,2)