Solving by Graphing
Solve by Substitution
Solve by Elimination
Random
Applications
100
What is the solution?
(-1,1)
100
Solve the systems of equations:
-3x + 4y = -2
y = -5
(-6, -5)
100
Solve the systems of equations:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
100
What is it called when you have 2 or more equations with 2 or more variables?
A system of equations
100
What is the first step needed to solve an application of a system of equations?
DEFINE VARIABLES
200
Solve using Graphing
y= 2x + 1
y= -x + 7
(2, 5)
200
Solve the systems of equations:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Solve the systems of equations:
x -3y = 6
x + 3y = 12
(9,1)
200
What would a system of equations with infinite solutions look like on a graph?
One line.
200
The difference of two numbers is 3. Their sum is 13. Find the numbers.
5 and 8
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve the systems of equations:
-6x - 10y = 4
6x + 10y = 0
No Solution
300
What would a system of equations with one solution look like on a graph?
Two lines that intersect at one point.
300
Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?
senior citizen ticket: $4, child ticket: $7
400
How many solutions are there?
Infinitely Many Solutions
400
Solve the systems of equations:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
Solve the systems of equations:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
400
Solve the following System of Equations using ANY method:
x = 3y - 5
2x - 3y = -4
(1, 2)
400
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
Van: 18, Bus: 59
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve the systems of equations:
-15x + 6y = -36
4x - 3y = 11
(2, -1)
500
What would a systems of equations with no solution look like on a graph?
Parallel Lines
500
The charge for admission to the zoo is $3.25 for each adult and $1.50 for each child. On a day when 500 people paid to visit the zoo, the receipts totaled $1275. Find the number of adult tickets and children tickets sold that day.
300 Adult and 200 Child