Use elimination to solve:
4x + 6y = 32 &
3x - 6y = 3
(5,2)
100
Would it be best to use substitution or elimination?
y = x + 5 &
2x + 3y = 16
Substitution
200
A system of equations which never crosses
inconsistent
200
Find the solution by graphing:
y=x+4 &
y= -x-4
(-4,0)
200
Use substitution to solve
y = -4x +11 &
3x + y = 9
(2,3)
200
Use elimination to solve:
-4x + 3y = -3 &
4x + 5y = -5
(0, -1)
200
Is it possible with what we have learned so far to use elimination?
3x - 4y = 5 &
5y + 2x = 4
No
300
A system of equations with EXACTLY one solution (the lines cross once)
Independent
300
Identify how many solutions the system has
y = x - 6 &
y = x + 2
0 (Zero)
300
Use substitution to solve
y = 5x - 5 &
-x + 3y = 13
(2,5)
300
Use elimination to solve:
5x + 2y = 6 &
9x + 2y = 22
(4, -7)
300
The sum of x & y is 24
Five times x minus y is 12
What are x and y?
(6, 18)
400
A system of equations with infinitely many solutions (the graphs of the lines are the same)
Dependent
400
Identify how many solutions the system has
x + y = 4 &
3y = -3x + 12
Infinitely many
400
Use substitution to solve
x = y -2 &
4x + y = 2
(0,2)
400
Use elimination to solve:
5m - p = 7 &
7m - p = 11
(2,3)
400
The sum of angles X and Y is 180 degrees
X is 24 more than Y
Write a system and find the two angles.
x = 102
y = 78
500
Lines that are inconsistent are ____________
(hint: have the same slope)
Parallel
500
Graph the system and list its solutions
2x + 3y = 12 &
2x - y = 4
(3,2)
500
Use substitution to solve
2x + y = 4 &
-2x + y = -4
(2,0)
500
Use elimination to solve:
6a - 3b = 27 &
2a - 3b = 11
(4, -1)
500
At one movie theater, it cost $6 for adults and $2 for kids to see a movie. For one movie, the theater sold 175 tickets and made $750. How many adults and how many kids tickets were sold?