Two or more linear equations is known as a:
System of Equations
The quadrant in which the solution to the following system lies:
y = x + 4
y = 2x + 5
What is II
The solution to the system of equations:
r + s = 6
r - s = 10
What is (8, -2)?
The solution to the system:
x = 4y
2x + 3y = 22
What is (8, 2)
How many solutions?
Two lines that intersect at a point on the graph will have ___________________
One Solution
The ratio of rise to run is:
slope
The solution to the system of equations:
y = 3x - 2
y = -x - 2
What is (0, -2)?
The solution to the system:
8a + 5b = 45
2a - 5b = 5
What is (5, 1)?
The solution to the system
y = x - 2
3x + y = 14
What is (4, 2)
How many solutions?
Parallel lines will have __________________
no solution
The answer to an equation or to a system of equations is:
the solution (or solution set)
The solution to the system of equations:
y = -3
x = 5
What is (5, -3)
The solution to the system:
-6x - 9y = -18
6x + 10y = 30
What is (-15, 12)?
The solution to the system
y = 3x
7x + 2y = 39
What is (3, 9)
How many solutions?
A system of equations that has many solutions is called _________________
infinite amount of solutions
y = mx + b is is an equation written in
______________________________ .
slope-intercept form
The solution to the system of equations
y = (1/3)x - 3
y = 2x - 8
What is (3, -2)
The solution to the system
8x + 16y = -48
-8x + 16y = -48
What is (0, -3)
The solution to the system
3s - 2t = 4
t = 2s
What is (-4, -8)
How many solutions?
A system of equations that has the same slope, but not necessarily the same y-intercept will have ____________________
no solution
Replacing a variable with a given number is called: _____________
Substitution
y = 3x + 2
y = 3x - 2
The solution to the system:
3x + 4y = 62
-3x + 10y = 50
What is (10, 8)
The solution to the system
t + u = 12
t = 3u
What is (3, 9)?
How many solutions?
y = -1/2 x + 9
y + 1/2 x = 9
infinite amount of solutions