More than one equation to be solved at the same time is know as this.
System of Equations
The quadrant in which the solution to the following system lies:
y = x + 4
y = 2x + 5
QII
The solution to the system of equations:
r + s = -6
r - s = -10
(-8, 2)
The solution to the system:
x = 4y
2x + 3y = 22
(8, 2)
Two lines that intersect at a point on the graph will have this many solutions.
one
The ratio of rise to run
slope
The solution to the system of equations:
y = 3x - 2
y = -x - 2
(0, -2)
The solution to the system:
8a + 5b = 9
2a - 5b = -4
(0.5, 1)
The solution to the system
y = x - 2
3x - y = 16
(7, 5)
Parallel lines will have this many solutions
zero, no solution
The answer to an equation or system of equations.
solution
The solution to the system of equations:
y = -3
x = 5 (this cannot be graphed in your calculator)
(5, -3)
The solution to the system:
-6x - 9y = -18
6x + 10y = 30
(-15, 12)
The solution to the system
y = 3x
7x + 2y = 39
(3, 9)
A system of equations that have the same lines have this many solutions.
infinite solutions
y = mx + b is more formally known as this.
slope-intercept form
The solution to the system of equations
y = (1/3)x - 3
y = 2x - 8
(3, -2)
The solution to the system
8x + 16y = -48
-8x + 16y = -48
(0, -3)
The solution to the system
3s - 2t = 4
t = 2s
(-4, -8)
A system of equations that has the same slope, but not necessarily the same y-intercept will have this solution.
no solution
When you replace a variable with a given number is called this
Substitution
The solution to the system of equations:
y = 3x + 2
y = 3x - 2
no solution
The solution to the system:
(1/3)x + (1/4)y = 10
(-1/3)x + (-1/2)y = -4
(24, 8)
The solution to the system
t + u = 12
t = (1/3)u
(3, 9)
The solution to this system is
y = -1/2 x + 9
y = -1/2 x + 9
infinite solutions