Algebra Systems of Equations

Solve the system and fill in the blanks (___,___)

As treasurer of his school's FFA club, Kenny wants to buy shirts for all 18 members. T-shirts cost $9 and sweatshirts cost $15. He wants to spend $180 total.

Write an equation that includes the 18 member TOTAL (hint)

Use Substitution to determine if this system has a solution or not.

8x+4y=12\ \ \ and\ \ \ \ y\ =\ -2x+3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

What is the solution to this system of equations?

• Infinite Solutions

• One Solution

• No Solution

• (0, 0)

What is the solution to this system of equations?

• (2, -3)

• (-2, 3)

• (-3, 2)

• (3, -2)

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Solve the following system:
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

Which point is a solution to the system of inequalities?

• (-8,2)

• (-2,-5)

• (0,6)

• (4, 3)