What is the solution?
(-1,1)
Solve the systems of equations using substitution:
-3x + 4y = -2
y = -5
(-6, -5)
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
Is the given point a solution to the system of equations?
Point: (2,6)
x + y = 8
3x - y = 0
Yes
The difference of two numbers is 12. Their sum is 54. Find the smaller of the two numbers
21
(Other number is 33)
How many solutions are there?
No Solutions
Solve the systems of equations using substitution:
-5x - 5y = 10
y = -4x -17
(-5, 3)
Solve the systems of equations using Elimination:
-3x - 5y = 2
3x + 5y = 7
No Solution
Is the given point a solution to the system of equations?
Point: (1/2, -2)
6x + 5y = -7
2x - 4y = -8
No
7 and 15
Solve Using Graphing:
y = 5/3x + 2
y = -3
Solve the systems of equations using substitution:
y = -2x - 9
3x -6y = 9
(-3, -3)
Solve the systems of equations using Elimination:
-6x - 10y = 4
-3x - 5y = 7
No Solution
What is true of lines with no solution?
They are parallel
-or-
They have the same slope, but different intercepts
There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal are there?
chickens: 7
pigs: 6
How many solutions are there?
Infinitely Many Solutions
Solve the systems of equations using substitution:
-8x - 5y = -24
-x + y = 10
(-2, 8)
Solve the systems of equations using Elimination:
x + 8y = 22
3x + 4y = -14
(-10, 4)
What would you multiply the top equation by if you wanted to eliminate the "x" terms:
0.3x - 0.2y = -2.1
0.6x + 1.3y = 0.9
-2
A jar contains nickel and dimes valued at $1.70. There are 21 coins in the jar. How many of each coin is there?
13 dimes and 8 nickels
Solve the systems of linear equations by graphing:
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
Solve the systems of equations using Elimination:
-5x + 2y = -12
4x - 3y = 11
(2, -1)
What does it mean if a system of equations was "dependent"?
The lines are equal.
The high school marching band and a Spanish club are planning trips to Europe. In the marching band, 35 students and 4 adults cost a total of $135,400. In the Spanish club, 11 students and 2 adults cost $45,600. If the students and adults cost the same, how much does a student cost?
student cost: $3,400