Solution Types Algebraically Systems

The ordered pair that satisfies all equations in the system.

• system of equations

• function

• graph

• solution of a system

How many solutions are there in the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

How many solutions does this system of equations have?

• 1 Solution

• 2 Solutions

• Infinite Solutions

• No Solutions

How many solutions does this system of equations have?

• 1 Solution

• 2 Solutions

• Infinite Solutions

• No Solutions

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

What is the value of the y-coordinate of the solution to the system of equations 
x-2y=1
x+4y=7 

• 1

• -1

• 3

• 4

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)

• (0,-1)

• (3,4)

• (4,3)

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

The equations of two lines are:
 2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

• x=8

• x=3

• x=11

• x=5