Solve Systems of Equations Equal Value Method

2x - y = 0

4x - y = 0

• (1,2)

• (0,0)

• No Solutions

• Infinite Solutions

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

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Use the equal values method to determine the solution to the system of equations.
y = 6x + 3
y = 4x - 15

• (-9,3)

• (-7,-51)

• (-9,-51)

• (0,0)

2 or more linear equations with the same set of variables

• System

• System of Equations

• Linear Equations

• Quadratic Equations

How do you write a solution to a system of equations?

• x=answer [ex: x=5 ]

• x=answer, y=answer [ex: x=5, y= -1]

• (x, y) [ex: (5,-1) ]

• (y, x) [ex: (-1, 5) ]

A solution to a system that results in one x value and one y value that will satisfy both equations

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

A solution to a system that results in an unlimited amount of x values and an unlimited amount of y values that will satisfy both equations

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

A solution to a system of equations that results in no x or y value that will satisfy both equations

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions