Solutions to Linear Systems Graphs

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

Tags

CCSS.8.EE.C.8B

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.

Tags

CCSS.8.EE.C.8A

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

• TRUE

• FALSE

Tags

CCSS.8.EE.C.8A

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

Tags

CCSS.8.EE.C.8A

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

• YES

• NO

Which system of linear equations represents the graph shown?

• y=3x+1 and y=x+3

• y=-x-3 and y=x-1

• y=1/3x-1 and y=x-3

• y=x-1 and y=3x-3

Tags

CCSS.8.EE.C.8B

Which system of equations is represented by the graph shown?

• y=-x-1 and y=x+3

• y=3x and y=x

• y=x-3 and y=x+1

• y=x+1 and y=-x-3

Tags

CCSS.8.EE.C.8B

Which system of linear equations is shown on the graph?

• y= 4x-2 and y=1/4x-2

• y=-1/4x-2 and y=-4x-2

• y=1/4x-2 and y=-4x-2

• y=-1/4x-2 and y=4x-2

Tags

CCSS.8.EE.C.8B

What is the solution to this system of linear equations?

• There are infinitely many solutions.

• The only solution is (0, 4)

• The only solution is (0, 0)

• There is no solution.

Tags

CCSS.8.EE.C.8B

What is the solution to this system of linear equations?y - 3x = 0 and y = 3x

• The only solution is (0, 3).

• There is no solution.

• The only solution is (0, 0).

• There are infinitely many solutions.

Tags

CCSS.8.EE.C.8B