Homework 8: Solving Systems by Elimination (Alg1.2.14)

[size=200][color=#ff7700][b]Problem 1[/b][/color][/size]
Solve each system of equations.
[math]\begin{cases} 5x+2y=29 \\ 5x - 2y= 41 \\ \end{cases}[/math]
[math]\begin{cases} 2x+3y=4 \\ 2x = 7y + 24\\ \end{cases}[/math]
[math]\begin{cases} 5x + 3y= 23 \\ 3y = 15x - 21 \\ \end{cases}[/math]
[size=200][color=#ff7700][b]Problem 2[/b][/color][/size]
Elena and Kiran are playing a board game. After one round, Elena says, "You earned so many more points than I did. If you earned 5 more points, your score would be twice mine!"
[size=150]Kiran says, "Oh, I don't think I did that much better. I only scored 9 points higher than you did."[/size][br][br]Write a system of equations to represent each student's comment. Be sure to specify what your variables represent.[br]
If both students were correct, how many points did each student score? [br]
Show your reasoning.
Close
– Brenda Jiménez, GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

Information: Homework 8: Solving Systems by Elimination (Alg1.2.14)