Solving Systems of Equations

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 best for solving this sytsem?

• graphing

• substitution

• elimination

• any matrix method

Solve the system of equations using a matrix technique and your GC

• ( 4, 0, -2)

• ( -4, -2, 0)

• None of these

• ( -4, 0, -2)

Solve the system of equations using a matrix technique and your GC

• ( 4, 2, -1)

• ( 4, 3, -1)

• None of these

• ( -4, 3, 1)

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

Caitlin won a bag full of money! She has 49 bills in all. She counts $1,430. There are $20 dollar bills and $50 dollar bills. How many of each bill does Caitlin have?
WRITE a system where T= # of $20 and F = # of $50.

• T + F = 1430
  20T + 50F = 49

• T+ F = 49
  10T + 5F = 1430 

• T + F = 49
  20T + 50F  = 1430

• T + F = 49
  T + F = 1430

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

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)

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