Solving Systems of Equations

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

Solve the system of equations:
y=2x
x + y = 9

• (6, 3)

• (3, 6)

• (-3, -6)

• no solution

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)

• (-8,-3)

• (3,-8)

• (8,3)

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

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

• Run off the graph

• Don't touch

• Intersect

• Exist

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33
  y = 2x - 3

• x + y = 33
  x = 2y - 3

• x + y = 33
  x = 3 - 2y

• x + y = 3
  x = 33 - 2y

Given this system of equations, what is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

If 3x - 2y = 14 and 2x + 2y = 6,
what are x and y?

• x = 1, y = 2

• x = 2, y = 1

• x = -4, y = 1

• x = 4, y = -1

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-1, 4)

• (1, -4)

• (-4, 1)

• (4, -1)