Substitution
y = 6x
2x + 3y = –20
(-1, -6)
4x + y = 23
3x – y = 12
(5, 3)
2x + 5y = –3
2x + 2y = 6
(6, -3)
When looking at graph of two intersecting equations, where is the solution?
Where the two lines cross.
In Finding Nemo, Dory helps this clownfish cross the ocean to find his son.
Who is Marlin?
y = 2x – 2
y = x + 2
(4, 6)
7x + 2y = 2
7x – 2y = –30
(-2, 8)
3x + 2y = –1
4x + 2y = –6
(-5, 7)
What is the FIRST step you would take to solve this system of equations by graphing?
2x – y = 1
y = –3x
Convert 2x - y = 1 into y = mx + b form.
Which is the third planet in our Solar System?
What is Earth?
x + 2y = 13
–2x – 3y = –18
(-3, 8)
2x + 4y = 10
x – 4y = –2.5
HINT: Your answer CAN be a decimal.
(2.5, 1.25)
5x + 3y = 22
5x – 2y = 2
If two lines are parallel,
a) How many solutions are there?
b) What terminology do we use to describe that solution?
a) no solution
b) Inconsistent
How many bones do sharks have?
What is zero?
2x – 3y = –24
x + 6y = 18
(-6, 4)
-1/3x - 4/3y = -2
1/3x - 2/3y = 4
(10, -1)
–4x – 2y = –2
2x – 2y = –14
(-2, 5)
If two lines intersect on a coordinate plane,
a) How many solutions are there?
b) What terminology do we use to describe that solution?
a) One solution
b) Consistent and independent
What is the only sport to be played on the moon?
What is golf?
x + 3y = –4
2x + 6y = 5
3/4x - 1/2y = 8
3/2x + 1/2y = 19
(12, 2)
2.5x + y = 10.7
2.5x + 2y = 12.9
HINT: Your answer CAN be a decimal.
(3.4, 2.2)
If two lines have the same slope and the same y-intercept,
a) How many solutions are there?
b) What terminology do we use to describe that solution?
a) Infinitely many solutions
b) Consistent and dependent
In the movie Harry Potter and the Order of the Phoenix, Harry Potter and Luna Lovegood are guided back to Hogwarts by these horse like creatures. (It's later explained that they are invisible except to those who have seen death.)
What are Thestrals?