Substitution
What is the solution to the following system?
y= 6x-11
-2-3y=-7
( 2,1 )
What is the solution for the following system?
-4x-2y=-12
4x+8y=-24
(6,-6)
When you solve by graphing, what are you looking for?
Where the lines cross (a coordinate)
How many equations are in a system of equations?
2 or more
The sum of two numbers is 12 and their difference is 6. What are the two numbers?
3 and 9
What is the solution to the following system?
Y=-3x+5
5x-4y=-3
( 1, 2 )
What is the solution for the following system?
x-y+11
2x+y=19
( 10,-1 )
What are the slope and y-intercept in the following equation? y=3x+2
m=3 b=2
What should your answer be written as when solving systems?
An ordered pair.
Twice a boy's age is 9 more than his brother's. The average of their ages is 12. How old are they?
11 and 13
What is the solution to the following system?
Y=-2
4x-3y=18
( 3, -2 )
What is the solution for the following system?
-2x-9y=-25
-4x-9y=-23
( -1,3 )
What is the solution to the following system of equations? (You have to graph them)
y=x-3
y=-x-1
(1,-2)
How do you check your answer when solving systems of equations?
You plug the ordered pair back into both equations and see if you get the same number on both sides of the equals sign for both equations.
A girl has 36 coins (all quarters and nickels) which total $6. How many of each does she have?
21 quarters and 15 nickels
What is the solution for the following system?
-4x+y=6
-5x-y=21
( -3, -6 )
What is the following solution for the following system? 3x-y=-2
-2x+y=3
(1,5)
What is the solution to the following system of equations? (You have to graph them)
y=-2x-1
y=x+5
(-2,3)
It is possible to have no solution to a system of linear equations. When solving by graphing what would that look like?
Two lines that are parallel and do not intersect.
A girl's cell phone costs $10 per month plus 10 cents per minute. Her friend's costs $3 per month and 15 cents per minute. For what amount of talking time, in minutes, will the cost of these plans be the same?
140 minutes (2 hours and 20 minutes)
What is the solution for the following solution? -5x+y=-2
-3x+6y=-12
( 0,-2 )
What is the solution for the following system?
x -y = -3
5x+3y=1
(-1,2)
What is the solution to the following system of equations? (You have to graph them)
y=-x+6
y=x
(3,3)
It is possible to have infinite many solutions to a system of linear equations. When solving by elimination, what would that look like?
0= some #
How many liters of a 60% salt mixture must be added to 2 liters of a 30% salt mixture to yield a 48% mixture?
3 liters