Substitution
Find the x and y.
y=2
y+x=12
x=10
y=2
Find the value for x and y.
9x-2y=34
5x+2y=-6
x=2
y=-8
Find the value for x and y.
y=-2x-4
y=2x-4
x=0
y=-4
Graph
y=-x+5
y=2x-1
(2, 3)
Ryan’s school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 6 senior citizen tickets and 10 student tickets for a total of $208. The school took in $195 on the second day by selling 3 senior citizen tickets and 12 student tickets. What is the price of for each one of the senior citizen tickets and for each one of the student tickets?
13 dollars a ticket for both seniors and students.
2x+2y=12
x=7
x=7
y=-1
Find the value for x and y.
x+2y=13
-x+7=5
x=1
y=6
Find the value for x and y.
x+y=2
-x+7y=14
x=0
y=2
Graph
y=-x+7
y = x + 1
(3, 4)
A grandfather, two fathers and two sons went to the movie theater together and everyone bought one movie ticket each. How many tickets did they buy in total?
3 people
y=x+1
y=-x+7
x=3
y=4
Find the value for x and y.
2y-x=-6
y+x=-9
x=-5
y=-4
Find the value for x and y.
-7x-10y=10
10x+10y=20
x=10
y=-8
Graph
y=-x+4
y=2x-8
(4, 0)
If you multiply this number by any other number, the answer will always be the same. What number is this?
Zero
Find the value for x and y.
y=-3x+1
y=x-7
x=2
y=-5
Find the value for x and y.
5x+6y=50
x-6y=-26
x=4
y=5
Find the value for x and y.
y=-6x-8
y=-6x+8
No Solution
Graph
y= -1/3x +2
y= 2/3x +5
(-3, 3)
What can travel around the world while staying in a corner?
A stamp
Find the value for x and y.
y=-4x+3
4x-2y=6
x=1
y=-1
Find the value for x and y.
x+2y=-6
7x+8y=-12
x=4
y=-5
Find the value for x and y.
3x-y=6
-3x+y=-6
Infinite Solutions
Graph
y= 1/2x +3
y= -3/2x -5
(-4, 1)
A man who lives on the tenth floor takes the elevator down to the first floor every morning and goes to work. In the evening, when he comes back; on a rainy day, or if there are other people in the elevator, he goes to his floor directly. Otherwise, he goes to the seventh floor and walks up three flights of stairs to his apartment.
Can you explain why?
The man is of short stature. He can't reach the upper elevator buttons, but he can ask people to push them for him. He can also push them with his umbrella.