Parallel System of Equations

When there is no solution to a system of linear equations, we know that the lines are _____________.

• Perpendicular

• The same line

• Parallel

• Not on the graph

Tags

CCSS.8.EE.C.8A

Is there a solution to the system of equations?

y = 1/2x + 3

y = 2/4x - 2

• No- because the lines will be parallel and will never intersect. (1/2 is the same as 2/4)

• No- because the lines have different y-intercepts

• Yes- because the lines will NOT be parallel

• Yes- because the lines have the same slope.

Tags

CCSS.8.EE.C.8B

Is there a solution to the system of equations?

y = 4x + 3

y = 4x - 2

• No- because the lines will be parallel and will never intersect.

• No- because the lines have different y-intercepts

• Yes- because the lines will NOT be parallel

• Yes- because the lines have the same slope.

Tags

CCSS.8.EE.C.8B

Is there a solution to the system of equations?

y = -3/4x + 9

3x + 4y = 12

• No- because these lines will be parallel and never intersect.

• No- because these lines have different y-intercepts.

• Yes- because these lines have different slopes and will intersect.

• Yes- because I can feel it in my bones.

Tags

CCSS.8.EE.C.8B

How many solutions does the system have?

• One (6,-4 )

• no solutions

  they are parallel

• Infinite solutions

  they are the exact same line

Tags

CCSS.8.EE.C.8B

The equation of line k is y = −x + 17. Line n is parallel to line k and passes through the point (−5, 7). Determine an equation that represents the relationship between x and y for line n. Record your answer in the space provided.

Mathematical Equivalence

ON

Tags

A1.3.2.E

Which system of equations does NOT have the same solution as the system below?

Tags

CCSS.8.EE.C.8B

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33
  y = 2x - 3

• x + y = 33
  x = 2y - 3

• x + y = 33
  x = 3 - 2y

• x + y = 3
  x = 33 - 2y

Tags

CCSS.HSA.CED.A.3

How many solutions does this systems of equations have?

• One

• None

• Infinite

Tags

CCSS.8.EE.C.8B

Choose the equations that represent lines that are parallel to the equation x = 2

• y = -1

• y = 8

• x = -1

• x = 8