Find two numbers whose sum is 29 and whose difference is 15.
What is
x+y=29
x-y=15
(22,7)
300
Two times a number plus three times another number equals 13. The sum of the two number is 7. What are the numbers?
What is (8,-1)
300
4x-2y=-1
-4x+4y=-2
What is (-1,-3/2)
400
3x-y=4
2x-3y=-9
What is (3,5)
400
2x-5y=-28
4x=5y+4
What is (-4,4)
400
5x+2y=-3
3x+3y=9
What is (-3,6)
400
Trisha and Byron are washing and vacuuming cars to raise money for a class trip. Trisha raised $38 by washing 5 cars and vacuuming 4 cars. Byron raised $28 by washing 4 cars and vacuuming 2 cars. Find the price they are charging for a wash wash and a car vacuum.
What is Wash= $6
Vacuum= $2
500
Mr. Alex has some $1 bills and some $5 bills. In all, he has 6 bills worth $22. Write a system of equations for this situation and use substitution to determine how many of each bill he has.
What is
x+y=6
x+5y=22
He has four $5 and two $1
500
Two times a number added to another number is 25. Three times the first number minus the other number is 20. Find the numbers.
What is (9,7)
500
Write a system of equations that can be solved by multiplying one equation by -3 and then adding the two equations together.
What is Answers may vary.
ex) -x+y=0
-3x+2y=9
500
A movie theater charges $7.50 for an adult ticket and $5 for a student ticket. If a group of 8 friends go and the movie theater makes a total of $47.50 how many adults and students went to the movies together?