System of Equations

A system has ____________ when two lines intersect at one point. 

• One solution
• No solution
• Infinitely Many Solution

A system has ____________ when two equations are exactly the same and overlap each other.

• One solution
• No solution
• Infinitely Many Solution

A system has ____________ when two equations have same slope but different y-intercept and are parallel. 

• One solution
• No solution
• Infinitely Many Solution

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Solve the system of Equation (x,y)
3x + y = –14
–2x – y = 9

• (-5,1)
• (5,-1)
• (1,4)
• (-1,4)

Solve the system of Equation (x,y)

x + 4y = –3

x + 7y = –12

• (-3,9)

• (9,-3)

• (3,9)

• (9,3)

−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 
• Infinite number of solutions  
• (−6, 10) 
• (6, 4) 

What is the solution to the system of equations?

y = 4x - 10

y = 3x - 5

• (7 , -15)

• (1, -5)

• (5 , 10)

• (1, 2)

Solve by using elimination method.

• (3, 1)
• ( 5, -5)
• (2, 5)
• (15, 1)

What is the solution to this system of equations? Solve by substitution or graphing.

• (7, -8)

• (-7, 8)

• (-7, -8)

• (7, 8)