System of Equations

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

When does a system of equations have no solutions?

• When the lines cross

• When slopes of the lines are different

• When the slopes are the same

• There is ALWAYS a solution sir!

Two equations that produce the same line have _____ solution(s).

• no

• one

• infinitely many

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Intersecting lines have _____ solution(s).

• No

• One

• many

What is the solution to this system?

• (-2, -2)

• (2, -2)

• (-2, 2)

• (2, 2)

Solve the system of equations

5x + 6y = -10

3x - 2y = -6

• (-2, 0)

• (0, -2)

• (2, 0)

• (0, 2)

Solve:
y = 7x + 9
2y + 2x = -18

• (5, 0)

• (9, 18)

• (-2, -5)

• (1, 16)

What is the value of the y-coordinate of the solution to the system of equations

x - 2y = 1

x + 4y = 7

• 1

• -1

• 3

• 4

A sporting goods store sells left haded (x) and right handed (y) gloves. In one month, 12 gloves were sold for a total of $561. Right handed gloves cost $45 each and left handed gloves cost $52. Which system could be solved to determine the number of each type of glove sold?

• x + y = 561

  45x + 52y = 12

• x + y = 12

  52x + 45y = 561

• x + y = 12

  45x + 52y = 561

• x + y = 561

  52x + 45y = 12