Systems Graphing
Solve the following system of equations by graphing:
y = x + 6
y = -2x - 3
Solve the following system of equations using elimination or substitution:
y = -2x +2
y = 7x + 11
What is (-1,4)?
Set up a system of equations for the following:
The sum of two numbers is 18. Their difference is 3.
x + y = 18
x - y = 3
Solve the following system of equations by graphing:
5x - y = -5
3x - 6y = 24
What is (-2, -5)?
Solve the following system of equations using elimination or substitution:
x - 2y = 10
x + 3y = 5
What is (8,-1)?
Set up a system of equations for the following:
The difference between two numbers is 5. Three times the first number minus two times the second is 11.
x - y = 5
3x - 2y = 11
Solve the following system of equations by graphing:
x - 3y = -15
x = -3
What is (-3,4)?
Solve the following system of equations using elimination or substitution:
y = 2x
5x - y = 9
What is (3,6)?
Set up a system of equations for the following word problem:
Ben and Joel are selling wrapping paper to raise money for a field trip. Ben raised $43.50 by selling 12 rolls of solid paper and 9 rolls of printed paper. Joel raised $51.50 by selling 8 rolls of solid paper and 15 rolls of printed paper.
12x + 9y = 43.50
8x + 15y = 51.50
Solve the following system of equations by graphing:
2x - 2y = 14
x - y = 2
What is no solution?
Solve the following system of equations using elimination or substitution:
x - 2y = 12
5x + 3y = -44
What is (-4,-8)?
Set up a system of equations for the following word problem:
Adult tickets for the school musical sold for $3.50 and student tickets solve for $2.50. On a given night, 321 tickets were sold for $937.50.
x + y = 321
3.5x + 2.5y = 937.5
Solve the following system of equations by graphing:
y = 2x - 4
6x - 3y = 12
What is infinite solutions?
Solve the following system of equations using elimination or substitution:
2x - 6y = 12
-5x + 15y = -30
What is infinite solutions?
A collection of dimes and nickels is worth $3.30. If there are 42 coins total, set up a system of equations that could help find the number of dimes and nickels.
x + y = 42
0.10x + 0.05y = 3.30