Systems of Linear Equations(Ch. 6)

Buzz graphed two lines in order to find the solution to a given system of equations.

What is the solution?

• (-1, 4)

• (1, -4)

• (-4, 1)

• (4, -1)

Tags

CCSS.8.EE.C.8B

Solve the system of equations by substitution.
5x - 4y = -15
y = -4x - 12

• (3, 0)
• (-3, 0)
• (3, 24)
• (-3, 24)

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 

• (5, 8)
• (5, -8)
• (-5, -18)
• (-5, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations.

y = -4x + 5

y = 3x - 16

• (-3, -25)

• (3,-7)

• (11, 17)

• (21, 47)

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Solve the system of equations.

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes
• no

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Solve the system of equations

-12x-10y= 0

6x+5y= -1

• infinite solutions

• (0,0)

• no solution

• (2,1)

Solve the system of equations.

5x+6y= -10

3x-2y= -6

• (-2,0)

• (0,-2)

• (2,0)

• (0,2)

This system has _____ solutions

• no
• 1
• 2
• Infinitely many