Solutions
Is (0,0) a solution to this system of equations?
no
Where is the solution to a system of equations found on a graph?
at the intersection of the two lines
y = 2x
2x + y = 12
(3,6)
2x + 3y = 10
2x + 2y = 6
(-1,4)
What is my name?
Mr. DeMann
How many solutions would intersecting lines show?
1 solution
What is the slope?
y = -x + 5
-1
y = -x
x + y = 0
infinite solutions (same line)
5x + 4y = 27
3x - 4y = -3
(3,3)
Name 3 methods for solving systems of equations.
Graphing
Substitution
Elimination
How many solutions do parallel lines show?
no solution
What is the y-intercept?
y= 3x
0
2x + 3y = 24
y = x + 8
(0,8)
x + y = 10
2x + 3y = 23
(7,3)
What does NCYC stand for?
National Catholic Youth Conference
How many solutions ?
y=3x + 8
y=3x-5
no solution (same slope indicates parallel lines)
What is the slope of a line containing points (3,4) and (7,2)?
-1/2
x + 4y = 7
4x + 3y = 2
(-1,2)
x + y = 5
x + y = 10
(no solution)
2 cokes and 3 pizzas cost $14
1 coke and 1 pizza cost $5
How much is a coke? A pizza?
coke = $1
Pizza = $4
is (3,4) a solution to this system? Why?
y = x + 1
y = 4x - 5
no, it does not satisfy the equation y = 4x - 5
describe the difference in the graphs of y = x and y = lxl
y = x is a line
y = lxl is v-shaped
4x + 2y = 8
-8x - 4y = 12
no solution (same slope)
2x + 3y = 24
4x + 6y = 48
infinite solutions (same line)
x + 2y > 4 is not an equation. What is it called?
an inequality