Solve System of Equations Real World

y = 5x + 1
y = 3x + 13

• (6, 31)

• (31, 6)

• (4, 21)

• (2, 11)

Which of the following represents the correct equation when you substitute y into the equation?

What is the purpose of using systems of equations in real-world problems?

• To find the slope of a line

• To graph equations in a digital environment

• To solve problems with multiple variables and constraints

• To find the y-intercept

Which of the following is a real-world example of a system of equations?

• Finding the area of a rectangle

• Determining the cost of two items with different prices

• Solving for one unknown variable

• Calculating the exact speed of a car

Anna buys pens for $2 and pencils for $5. She buys 7 items and spends $26. Which system of equations represents this?

100 tickets sold. Adult tickets are $10, and student tickets are $5. Total revenue is $700. What are the equations?

A gym sells memberships for $30 and $300. What is the first step to solve if 20 memberships sold for $3,600?

• Add the prices of the memberships

• Solve for monthly memberships

• Substitute values into the equations

• Set up equations for total memberships and cost

A restaurant sells steak meals for $20 and chicken meals for $15. If 30 meals total $500, what system represents this?

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

• 10c + 5d = 14.25
  5c + 10d = 16.50

• 10c + 5d = 16.50
  5c + 10d = 14.25

• c + d = 10
  5c + 10d = 16.50

• c + d = 5
  5c + 10d = 16.50

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6

• x + y = 4
  x - y = 6

• 4x + 6y = 13
  3x + 7y = 13.5

• 4x - 6y = 13
  3x - 7y = 13.5