Solve Using Graphing:
y = 5/3x + 2
y = -3
Solve the systems of equations using substitution:
y=2x-10
y=4x+8
(-9,-28)
Solve the systems of equations using Elimination:
-x - 5y = 4
x + 7y = -8
(6, -2)
How many solutions would a system of linear equations have if the equations are parallel and different y-intercepts?
Zero Solutions
What is the slope of this equation?
y = -1/2 x +7
-1/2
Mrs Rozamus' maiden name
Moloney
Solve this by graphing:
y = 2x - 4
y = -1/3 x + 3
(3,2)
3x + 7y = 14
x - 3y = -6
(0,2)
Solve the systems of equations using Elimination:
-5x-2y=26
-4x-2y=18
(-8,7)
How many solutions would a system of linear equations have if the equations are parallel and have the same y-intercept?
Infinite Solutions
In the form y = mx + b
What do m and b represent?
m = slope
b = y-intercept
Mrs Rozamus' age
31
x-4y=-12
3x+2y=-8
(-4,2)
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions as lines coincide
Solve the systems of equations using Elimination:
-14x - 7y = 14
7x + 3y = -12
(-6,10)
Is there 1 solution, No solution, or Infinite solutions for the following question?
3x - y = 19
-3x + y = 10
No Solutions
What is the y-intercept of this equation?
-24=9x+6y
(0,-4)
Mrs Rozamus' favorite morning beverage
McDonald's Diet Coke
-12+x=3y
-x=-3y-12
Infinite number of solutions as lines coincide
2x - 5y = 8
-6x + 2y = 2
(-1,-2)
Solve the systems of equations using Elimination:
100x-100y=0
70x-70y=0
Infinite number of solutions as lines coincide
How many solutions does the system have?
3y + 4x = 6
12y + 16x = 24
These are the same exact line, therefore they have
Infinite Solutions
What is true of lines with no solution?
They are parallel
Mrs Rozamus went to this college
Saint Anselm College
Solve the systems of linear equations by graphing:
-8=-2y+2x
0=2+5x+y
(-1,3)
Solve the systems of equations using substitution:
8x+5y=3
-7x-6y=-1
(1,-1)
Solve the systems of equations using Elimination:
-7x+3y=-15
-4x+4y=-20
(0,-5)
How many solutions does the system have?
-6y + 2 = -4x
y - 2 = x
Different slopes
One solution
y=2/3x+1/3
y=x+2
What does it mean if a system of equations has infinite solutions?
They are the same line -- Lines coincide
Mrs Rozamus' sons name.
Bonus points for her daughter's name!
Kieran