Graphing
-3x + 4y = 24
4x - y = 7
(4,9)
4x + 6y = 32
3x - 6y = 3
(5,2)
y = 4x - 6
5x + 3y = -1
(1,-2)
The senior class at Jefferson Forest High School is planning a senior trip. They have 11 vans and 3 busses with 283 students. The senior class at Liberty high school is taking 12 vans and 14 buses with 770 students. Assume same number of students in each vehicle. Write a system of equations and label your variables.
x = students in van
y = students in bus
11x + 3y = 283
12x + 14y = 770
3x + 2y = 10
2x + 3y = 10
(2,2)
5x + 2y = 6
9x + 2y = 22
(4, -7)
2x + 5y = -1
y = 3x + 10
(-3,1)
The sum of two numbers is 79. The difference of those two numbers is 23. Write a systems of equations.
x = 1st number
y = 2nd number
x + y = 79
x - y = 23
2x + 3y = 10
4x + 6y = 12
no solution
6x - 2y = 10
3x - 7y = -19
(3,4)
4x + 5y = 11
y - 3x = -13
(4, -1)
You and your friend go to taco bell. You order 3 soft tacos and 3 burritos for $11.25. Your friend orders 4 soft tacos and 2 burritos for $10. Write a system of equations.
x= cost of soft taco
y= cost of burrito
3x + 3y = 11.25
4x + 2y = 10
2x - 8y = 6
x - 4y = 3
infinitely many solutions
4x + 2y = 8
3x + 3y = 9
(1,2)
x - 3y = -9
5x - 2y = 7
(3, 4)
Andrew has 36 quarters and nickels. He has a total of $3. Write a system of equations.
x = number of quarters
y = number of nickels
x + y = 36
.25x + .05y = 3
3x + 5y = 30
3x + y = 18
(5,3)
5x - 3y = 6
2x + 5y = -10
(0,-2)
x = y - 1
-x + y = -1
no solution
Susan has 35 coins in quarters and nickels. She has a total of $4.15. Write a system of equations.
x = number of quarters
y = number of nickels
x + y = 35
.25x + .05y = 4.15