A
What is slope-intercept form? (equation)
y = mx + b
B100 graph
No solution
C100 graph
exactly one solution
D100 graph
Infinitely many solutions
The sum of two numbers is 10. Their difference is 6. What are the numbers?
8 and 2
What are the three types of solutions for systems of linear equations?
One solution, no solution, or infinitely many solutions.
Solve the system of equations:
y = 3x - 2
y = -x - 2
(0, -2)
C200 graph
(3.2, 0.7)
The solution to the system
y = x - 2
x - y = 2
(4, 2)
E200 graph
(0, 3)
A method for solving systems of linear equations by adding or subtracting the equations to eliminate one variable, allowing you to solve for the remaining variable.
Elimination
Solve the system of equations:
y = -3
x = y+3
(0, -3)
Solve the system of equations:
y - 3x = 3
y = 3x - 2
No solution
Solve the system of equations:
y = 3x+1
y = 3x+1
infinitely many solutions
Solve the system of equations:
y = -2x - 2
y = -2x + 2
No solution
Lily bought 1 raisin bread and 1 milk for $4
Lucy bought 2 raisin breads and 1 milk for $7
How much is 1 raisin bread? How much is 1 bottle of milk?
Raisin bread: $3
milk: $1
Solve the system of equations
x = 4y
x + 2y = 12
(8, 2)
Solve the system of equations
2a - 4b = 12
8a - 16b = 48
Infinitely many solutions
Solve the system of equations
3x - 2y = 4
y = 2x - 1
(-2, -5)
Solve the system of equations:
2x + 4y = 4
3x + 2y = 22
(10, -4)
There are 5 animals in the barn. Some are chickens and some are pigs. There are 14 legs in all. How many of each animal are there?
chickens: 3
pigs: 2
Solve the system of equations:
x + 3y =7
2x + 5y = 12
(1,2)
I can solve a system of linear equations in many ways. Can you name 3 methods to solve the system of linear equations?
graphing, substitution method, and elimination method.
Solve the system of equations
t + u = 12
t = (1/3)u
(3, 9)
What is the standard form linear equation?
Ax + By=C