Systems of Equations
y = x
x = 7
x = 7
y = 7
Solve the systems of equations using substitution:
y=3x-10
x=2
(2,-4)
x = 7
10x − 10y = 10
x = 7
y = 6
5x = 20
x = 4
What is the slope of this equation?
y = -1/2 x +7
-1/2
Where did Mr. Saxon go to college?
Ohio University
y = x + 2
y = 2x - 4
x = 6
y = 8
y = 5x + 10
y = x − 2
x = -3
y = -5
x = –6
–6x − 3y = 6
x = -6
y = 10
7x - 21 = 21
x = 6
What is the y-intercept of this equation?
y = 6x +5
(0,5)
What is Mr. Saxon's favorite color?
Green
y = 5
y = 3x + 2
x = 1
y = 5
Solve the systems of equations using substitution:
y=2x-10
y=4x+8
(-9,-28)
y = –5x + 10
y = –4x + 6
x = 4
y = -10
3(5x - 2) = 9
x = 1
In the form y = mx + b
What do m and b represent?
m = slope
b = y-intercept
What is Mr. Saxon's favorite drink
Mountain Dew
y = -3x + 7
y = -2x + 2
x = 5
y = -8
Solve the systems of equations using substitution:
2x - y = 6
x = y + 5
y = –8x + 8
y = –9x + 10
x = 2
y = -8
11(4 - 2x) = 11(4 - 2x)
Infinite Solutions
What is true of lines with no solution?
They are parallel
-or-
They have the same slope, but different y intercepts
What is Mr. Saxon's favorite restaurant in Gallia County?
Reyes
x − 6y = –10
6x + 8y = –16
x = -4
y = 1
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
x − 3y = 1
x + 5y = 17
x = 7
y = 2
8x - 2x = 6(2x - 4)
x = 4
What does it mean if a system of equations has infinite solutions?
They are the same line
-or-
They have the same slope, but same y intercepts
What is Mr. Saxon's middle name?
Wiley