Chapter 6 Review

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

• yes

• no

Which of the following are ways to solve systems of equations? 

• Graphing

• Substitution

• Elimination

• All of the above

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

Solve the system of equations by substitution.
y = -4x + 5
y =  3x - 16

• (-3, -25)

• (3,-7)

• (11, 17)

• (21, 47)

y = -6x + 5
-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

Solve by elimination:
3x+7y=23

-3x-7y=-17

• No solution

• ARN

• (-3,3)

• (3,3)

Solve the system using any method. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• No solutions

• (6, 4) 

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many