Miscellaneous
More than one equation to be solved at the same time is know as this.
System of Equations
In which quadrant does the solution to the following system lie?
y = x + 4
y = 2x + 5
Quadrant II
What is the solution to the system of equations?
x + y = -6
x - y = -10
(-8, 2)
What is the solution to the system?
x = 4y
2x + 3y = 22
(8, 2)
What is the solution to this system?
x - 3y = -15
x = -3
(-3, 4)
The ratio of rise to run
Slope
What is the solution to the system of equations?
y = 3x - 2
y = -x - 2
(0, -2)
What is the solution to the system?
8x + 5y = 9
2x - 5y = -4
(0.5, 1)
What is the solution to the system?
y = x - 2
3x - y = 16
(7, 5)
What is the solution to this system?
x = 4y
x + 2y = 12
(8, 2)
The answer to a system of equations that create parallel lines.
No solution
What is the solution to the system of equations?
y = -3
x = 5
(5, -3)
What is the solution to the system?
2x + 3y = 6
3x + 5y = 15
(-15, 12)
What is the solution to the system?
y = 3x - 1
7x + 2y = 37
(3, 8)
What is the solution to this system?
y = 2x - 4
6x - 3y = 12
Infinite Solutions
The answer to a system of equations that create overlapping (coinciding) lines.
Infinite solutions/All real numbers
What is the solution to the system of equations?
y = (1/3)x - 3
2x - y = 8
(3, -2)
What is the solution to the system?
2x - 4y = 12
-8x + 16y = -48
infinite solutions/all real numbers
What is the solution to the system?
3x - 2y = 4
y = 2x - 1
(-2, -5)
What is the solution to this system?
2x + 9y = 27
x - 3y = -24
(-9, 5)
The relationship between the slopes of perpendicular lines
Opposite reciprocals
What is the solution to the system of equations?
y - 3x = 3
y = 3x - 2
no solution
What is the solution to the system?
(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4
(24, 8)
What is the solution to the system?
x + y = 12
x = (1/3)y
(3, 9)
What is the solution to this system?
x - 2y = 8
8x + 6y = 42
(6, -1)