Algebraic Systems

Kam earned 22 extra credit points. Keith earned e fewer extra credit points than Kam. Type an expression that shows how many extra credit points Keith earned.

(a)  

Kimi has b buttons. Scott has 72 more buttons than Kimi. Type an expression that shows how many buttons Scott has.

(a)  

Solve the following system:
3x + 2y = 16
7x + y = 19

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?

Solve for x and y
y = 2x + 1
y = 4x - 1

What do you do to check a solution to a system of equations?

Solve the following system.  What is the solution?

One brand of suntan lotion comes in a small size with x ounces of lotion and a regular size with y ounces of lotion.  Given the equations below how can we eliminate the terms with x?
x+2y = 15
2x + y = 19.5

What is the solution to this system of equations?

A mail carrier delivers mail on one of two different routes: a morning route or an afternoon route. Each workday the mail carrier is assigned one of these two routes. Last month the mail carrier delivered mail on the morning route 16 times and on the afternoon route 12 times, for a total distance traveled of 141 miles. This month the mail carrier delivered mail on the morning route 10 times and on the afternoon route 15 times, for a total distance traveled of 123.75 miles. Which systems of equations can be used to find $$x$$ , the number of miles in the morning and $$y$$ , the number of miles in the afternoon?