Use the information from the exercise to create two equations and combine them into a system.
B
Use the Elimination Method to solve the system of equations created in Part A.
A
x=y+14 & (I) x+y=58 & (II)
B
Our friend sells 22 tickets, we sell 36 tickets.
Practice makes perfect
We want to create a system of linear equations to represent the sale of raffle tickets. We will use x to represent the number of tickets we sell and y to represent the number of tickets our friend sells. From the exercise, we know that we sell 14 more tickets than our friend does.
x= y+ 14
We also know that together, we sell a total of 58 tickets. This means that the sum of the number of tickets our friend sells and the number of tickets we sell is 58.
x+ y= 58
Now we can create a system of equations by combining the two equation we created. Let's do it!
x=y+14 & (I) x+y=58 & (II)
We want to know how many tickets each of us sells. Solving the system of equations we created in Part A will give us this information.
x=y+14 & (I) x+y=58 & (II)
Let's solve this system using the Elimination Method. Notice that the x-terms in both equations have the same coefficients. This means that we can subtract either of them from the other to get an equation in only one variable, y. Let's do it!
