Identifying Solutions of Systems of Linear Equations

What is a solution to a system of linear equations?

• The point where both lines intersect

• The point where the y-axis and x-axis meet

• An ordered pair that both lines share

• A salt dissolved in water

Tags

CCSS.8.EE.C.8B

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

• YES

• NO

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

Tags

CCSS.8.EE.C.8B

What is the solution to this system of equations?

• (4, -1)

• (-1, 4)

• (-4, 1)

• (-4, -1)

Tags

CCSS.8.EE.C.8B

Why will this system have infinite solutions?

• The equations are both negative.

• The equations are the same.

• They have the same y-intercept but not the same slope.

• They have the same slope but not the same y-intercept.

Tags

CCSS.8.EE.C.8A

When will we get "no solutions" from a system of equations?

• The two lines cross once

• The two lines are the same and overlap

• The two lines are parallel and never touch

• The two lines cross at 2 points

Tags

CCSS.8.EE.C.8B

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

Tags

CCSS.8.EE.C.8B

Given the equation y = 7x + 11, write another equation that will result in “one solution” when both equations are graphed.

• y = -7x

• y = 7

• y = 7x + 2

Tags

CCSS.8.EE.C.8B

Will the solution (2, 5) make the following system of equations a true statement?

• YES

• NO

Why will these graphs never cross?

• They have the same y-intercept.

• They have the same slope.

• They are both lines.

• They are both positive slopes.

Tags

CCSS.8.EE.B.5