One, None, or Many
y = 3x – 4
y = 3x – 5
No Solutions
y = x - 1
y = - x + 1
What is (1, 0)
-2x + 3y = 8
y = 0
What is (-4, 0)
Bert: y = 3x + 1
Madeline's: y = 3 + 2x
True or False: A system of equation is made up of 2 or more equations.
What is true
y = x + 5
y – 5 = x
y = - x + 3
y = x + 1
What is (2, 1)
3x + 2y =6
y = 3
What is (0, 3)
The following system of equations shows the cost (y) for a cab ride of x miles for two cab drivers. At what distance will the cost be the same for both companies
Bert: y = 5x + 9
Madeline: y = 3 + 3x
The companies will cost the same at 3 miles
True or false: x=8 is an acceptable solution to a system of equations.
False. The solution MUST be a coordinate pair (x,y)
y = 6x – 4
y = 6x – 5
No solutions
y = 1/2 x
y = - x + 3
What is (2, 1)
5x - 3y = -9
x=3
What is (3, 8)
Car A: $15 plus $0.50 per mile
Car B: $25 plus $0.25 per mile
x = 40 miles
What are the different type of solutions to systems of equations
What is one solution, all solutions, or no solution
y = 3x – 4
y = –x + 2
One Solution
y = - 3/2x + 3
y = - 3/2x - 2
What is no solution
x + y = 10
y = 2x + 1
What is (3, 7)
Kirsten watches 3 television shows every day. She has already watched 15 shows so far. How many days will it take her to watch a total of 45 shows?
It will take 10 days.
How many solutions?
y = 3x – 4
y = 3x – 5
What is no solution
y = 2x – 4
y = –x + 4
One Solution
y = -3
y = 2x - 1
What is (-1, -3)
9x + 4y = 6
y = -2x + 1
What is (2, -3)
Mary runs a computer repair business. She charges a flat $50 plus $25 per hour of service. Write an equation that represents the total cost, C, after h hours.
C = 50 + 25h
y = -3x + 5 has a y-intercept of 5 and slope of -3
What is true