Solve Systems Equal Values

Solve the following
y=-6x+18
y=3x-9

• Parallel Lines

• No solution

• (0,3)

• (3,0)

Solve the following
y=x-5
y=5x-13

• (-4,5)

• (2,3)

• (2,-3)

• (-3,2)

• (4, 7)

• (7, 4)

• (-4, -7)

• (-7, -4)

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

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

What is the solution to the given system?

• (4, -2)

• (-3, 4)

• (4, -3)

• (0,-1)