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
Which way would you shade the line?
x < -7
a.) Above/UP
b.) Below/LEFT
c.) Above/RIGHT
d.) Below/DOWN
b.) Below/LEFT
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
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?
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
Write a system of inequalities to represent the graph:
y > x - 3
y > 2x + 3
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 has infinite solutions?
The lines are equal.
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