Testing Solutions to System of Two Equations

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

To find the solution to a system of equations when looking at a graph of the equations, name the coordinates of the point that is on both lines--that's where they intersect.

What is the solution for the system in the graph?

• (6, 3)

• (3, 6)

• (-6, 3)

• No solution

Solve this system by graphing (Hint: Desmos would be a great option here) 
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

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 for x and y by testing these options into the sytem
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Which method would be the best way to solve this system?

• graphing

• substitution

• elimination

• guessing and checking

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

Solve this system by graphing (Hint: Desmos would be a great option here) 
x² - y = 1
y=3

• (-2,3)

• (2,3)

• (2,3) and (-2, 3)

• stop the madness

Write the inequalities represented in the picture.

• y > -4/5x - 1 and y ≤ 2/3x + 3

• y ≥ -4/5x - 1 and y ≤ 2/3x + 3

• y < -4/5x - 1 and y < 2/3x + 3

• y < -4/5x - 1 and y ≥ 2/3x + 3