Linear Systems

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

• intersecting lines

• parallel lines

• skew lines

• perpendicular lines

Solve the system of equations using the substitution method.

y = 4x+1

3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• (3, -4)

How many solutions does this linear system have?

• One Solution

• No solution

• Infinitely Many Solutions

• Four Solutions

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Find the solution to the linear system below using the substitution method:

y = 2x - 4

7x - 2y = 5

• (-1, -6)

• (-1, -8)

• (-2, 6)

• (1, -8),

Solve using the elimination:

9x-4y=7

x-4y=-17

• (-1,5)

• (-7,5)

• (7,5)

• (3,5)

Which variable will be "eliminated" by adding the equations together?

-2x -3y = 11

2x - 3y = -14

• x

• y

• Both variables

• Neither variable

Which variable will be "eliminated" by subtracting the equations together?

6x - 2y = 20

6x + 2y = -6

• x

• y

• Both variables

• Neither variable

What do you get when you add the follow equations together

-4x + 5y = -25

4x - 7y = 19

• -2y = -6

• 2y = 6

• 8y = -6

• 3y = -6

How many solutions does the following system have?

5x - 2y = 8

5x - 2y = 8

• None

• One

• Infinitely many

• Four