Solutions to Two Equations on a Graph

What type of solution to at system of equations is shown in the graph?

• one solution

• no solution

• infinitely many solutions

Which ordered pair is the solution of the system graphed below?

• (2, 0)

• (8, 0)

• (-3, 5)

• (3, 8)

What is the type of solution to the system of equations?
y = 1/4x - 3
y = 2/8x - 3

• one solution

• no solution

• infinitely many solutions

What is the type of solution to the system of equations?
y = -2x - 7
y = -2x + 8

• one solution

• no solution

• infinitely many solutions

What is the type of solution to the system of equations?
y = -x -6
y = 2x + 6

• one solution

• no solution

• infinitely many solutions

• none of the above

Marty graphs a system of equations, but only one line shows on the graph. What could this mean?

• The system has a unique solution.

• The system has two solutions.

• The system has infinitely many solutions.

• The system has no solution.

A linear system has no solution when the graphs of the equations are parallel.

• TRUE

• FALSE

A linear system has one solution when the graphs of the equations ____________________________________.

• The lines intersect.

• Lines have different slopes and y-intercepts.

• Both A and B

• None of the above

Will the solution (-3, -7) make the following system of equations a true statement? 
y = 4x + 5
y = x – 4

• YES

• NO

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions