Solutions Types Systems of Equations

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• the same line 

• Intersecting lines

The ordered pair that satisfies all equations in the system.

• system of equations

• function

• graph

• solution of a system

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

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

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Steffen 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)

Given the equation y = 7x + 11, write another equation that will result in “No Solution” when both equations are graphed.

• y = -7x

• y = 7

• y = 7x + 2

Identify the number of solutions for the system of equations.

• One

• None

• Infinitely Many

Identify the number of solutions for the system of equations.

• One

• None

• Infinitely Many