7.1: Graphing Systems of Equations
State whether the systems of equations has
ONE SOLUTION, NO SOLUTION or INFINITE MANY
y=-3/2x + 5
y=-2/3x +5
One Solution
Use Substitution!!! to solve each system of equations
y = 5x + 1
4x + y = 10
(1,6)
Use ELIMINATION to solve each system of equations.
-x + y = 7
x + y = 1
(-3, 4)
Use elimination to solve each systems of equations
x + y = 2
-3x + 4y = 15
( 1 , -3 )
It belongs to you but your friends use it more, what is it?
Your name.
Does the below system of equations have
One solution, No solution or Infinitely Many solutions?
x+y=4
3x+3y=12
INFINITE MANY
Use Substitution!!! to solve each system of equations
y = -3x + 4
-6x -2y = -8
Infinitely many
Use ELIMINATION to solve each system of equations.
-4x + 5y = 17
4x + 6y = -6
(-3 , 1 )
Use elimination to solve each systems of equations
2x + 5y = 11
4x + 3y = 1
( -2 , 3 )
There's only one word in the dictionary that's spelled wrong, what is it?
Wrong
Write the system of equations in slope intercept form
state whether it has one, no, or infinite solutions
3x+6=y
y = 6
y=3x+6 & y=6
One solution
Use Substitution!!! to solve each system of equations
5x - y = 5
-x + 3y = 13
(2,5)
Use ELIMINATION to solve each system of equations.
a + 4b = -4
a + 10b = -16
( 4 , 2 )
Use elimination to solve each systems of equations
12x - 3y = -3
6x + y = 1
( 0 , 1 )
It's raining at midnight. The forecast for tomorrow and the day after is sunny weather. Will it be sunny in 48 hours?
No, in 48 hours it'll be midnight again.
Write the system of equations in slope intercept form
state whether the system has one, no, or infinite solutions
2x+5=y
4x +10 = 2y
y=2x+5
y=2x+5
Infinite many
Use Substitution!!! to solve each system of equations
y = 3x + 2
2x + 2y = 20
(2 , 8)
2x + y = -8
x-y = 2
( -2 , -4 )
Mr. Santos, the curator of the children's museum, recently made two purchases of firing clay and poly clay for a visiting artist to sculpt. On Tuesday he bought 5 bogs of firing clay and 24 boxes of poly clay for $64.05. On Wednesday he bought 25 bags of firing clay and 8 boxes of poly clay for $51.45.
Create the systems of equations to represent this situation.
5x + 24y = 64.05
25x + 8y = 51.45
It has keys, but no locks. It has space, but no rooms. You can enter but can't go inside. What is it?
A key board.
State whether the systems of equations is
ONE SOLUTION, NO SOLUTION or INFINITE MANY
2x + y = 4
y = -2x -2
no solution
Use Substitution!!! to solve each system of equations
y = -10x -1/2
-50x - 10y = 105
(2, -41/2)
Jeremy and Kendrick each bought snacks for their friends at a skating rink. Jeremy bought 4 bags of popcorn and 2 plates of nachos for $18.50. Kendrick bought 7 bags of popcorn and 2 plates of nachos for $26.75
Write the systems of equations.
4x + 2y = 18.50
7x + 2y = 26.75
2x + 3y = 13
x + y = 7
Solve the above system of equations
( 8 , -1 )
I can fill a room but I take no space. What am I?
Light.