Show:
By Graphing
By Substitution
By Elimination
Applications
Any System of Equation
100

Three methods of solving system of equations.

Substitution, Elimination, Graphing.

100
The solution to y = -3x - 2 y = -2x - 2
What is (0,-2)?
100
The solution to this system x + 8y = 16 5x - 8y = -16 is this.....
What is (0,2)?
100

Aaron's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 2 adult tickets and 5 student tickets for a total of $74. The school took in $79 on the second day by selling 1 adult ticket and 6 student tickets. What is a system of equations for this problem?

What is 2a + 5s = 74 a + 6s = 79

100

A system of equations has this many equations.

What is two or more equations?

200

The solution to y = -2x - 5 y = 2/5x + 7 is what?

What is (-1,4)?

200
The solution to y = 3x + 1 y = -5
What is (-2,-5)?
200
Using elimination, the solution to 6x - y = 16 5x + y = 6 is this.....
What is (2,-4)?
200
Stephanie's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 12 senior citizen tickets and 11 student tickets for a total of $241. The school took in $235 on the second day by selling 7 senior citizen tickets and 15 student tickets. What is a system of equations to this problem?
What is 12c +11s = 241 7c + 15s = 235
200
The points were all equations have the same value.
What is the solution?
300

The solution to y = -1/8x - 8 y = -7/8x - 2

What is (8,-9)

300
The solution to 3x - 3y = 0 y = -6x + 14 is this......
What is (2,2)?
300
-2x + y = -5 -2x - 3y = -9 What is the solution?
What is (3,1)?
300
The difference between the number of boys and girls in 1st period algebra is 51. The number of girls is 6 more than twice the number of boys. Write a system of equations to the solution of the number of girls and number of boys.
What is b - g = 51 g = 2b + 6
300
Two lines that cross on the same coordinate grid intersect to create this...
What is the solution?
400
The solution to y = -x + 2 y = -x - 2 is this.....
What is no solution.
400
Given y = -3x + 1 6x + 2y = 2 The solution to this system is what...
What is many solutions?
400
6x + 6y = 18 6x + 6y = 18 What is the solution?
What is infinitely many solutions?
400
The total number of students in math class is 51. There are twice as many girls as boys. What is a system of equations that would give a solution to the number of girls and boys in the class?
What is b + g = 51 b = 2g
400
If ALL variables cancel and your statement is false, it forms this type of solution.
What is no solution?
500
Given y = x + 4 y = x - 1 The solution is this....
What is no solution?
500
-5x + y = -23 7x - 5y = 7 The solution is this...
What is (6,7)
500
Given y = 4x + 3 x + y = -2 The solution to this system is what?
What is (-1,-1)?
500
You have 100 coins worth $6.95. All of the coins are nickels and dimes. What would be a system of equations to find the number of dimes and nickels you have? How many nickles and dimes do you have?
What is n + d = 100 .05n + .10 = 6.95
500
If ALL variables cancel and your statement is true it forms this type of solution.
What is many solutions?