System of Equation Review Test

Solve the system of Equation (x,y)
−4x + 9y = 9
x − 3y = −6 

• (-9,-5)

• (-5,9)

• (9,5)

• (-5,-9)

x-y=11
2x+y=19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

A system of equations with no solution will have lines that...

• are the same

• cross in one place

• are parallel and never touch

A system of equations with one solution will have lines that...

• are the same

• cross in one place

• are parallel and never touch

A system of equations with infinitely many solutions will have lines that...

• are the same

• cross in one place

• are parallel and never touch

-4x-2y=-12
4x+8y=-24

• (5,6)

• (6,-6)

• (6,-2)

• (4,-3)

What is the solution to this system?

• (-2, -2)

• (2, -2)

• (-2,2)

• (2, 2)

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87

• 1.5x+0.5y=78.5
  1.5x+0.5y=87

• x+y=78.5
  1.5x+0.5y=87

• x+y=78.5
  x+y=87

Solve:
x = -3y - 17
2x + 3y = -7

• (1, -20)

• (3, 0)

• (-5, -2)

• (10 , -9)