Vocab
What is it called when two lines cross each other?
A solution
Solve by graphing y=x+1 and y=-x+5
(2,3)
y= x + 2
2x + y = 8
(2,4)
x + y = 10
x - y = 2
(6,4)
2 number add to 10 and subtract 2. What are they?
6 and 4
What is it called when a system has one solution?
It is consistent and independent
If 2 lines are parallel, how many solutions are there?
0
y = 3x
x + y = 12
(3,9)
2x + y = 7
2x - y = 1
(2,3)
You buy 2 pencils and 1 pen for $5.
1 pencil and 1 pen cost $3.
Find the price of a pencil.
$2
What is it called when a system has no solutions?
It is inconsistent
Solve: y= 2x and y= 2x + 3, how many solutions does it have?
No solution
y = x - 1
x + y = 5
(3,2)
3x + y = 10
3x - y = 2
(2,4)
A movie ticket costs $8 for adults and $5 for kids.
Total cost is $34 for 5 people.
How many kids?
2
What is it called when a system has infinent solutions?
It is dependent
Solve: y= -x + 4 and y= x
(2,2)
y = 2x + 1
x + y = 10
(3,7)
x + 2y = 8
x - 2y = 0
(4,2)
Two angles add to 90°. One is 10 more than the other.
Find both.
40° and 50°
The form of y=mx+or-b is called?
Slope intercept form
Two identical lines have how many solutions?
Infinite solutions
y = -x + 6
2x + y = 9
(3,3)
2x + 3y = 13
2x - 3y = 1
(3.5,2)
A gym charges $20 signup + $5 per visit.
Another charges $10 signup + $7 per visit.
When are costs equal?
5 visits