More than one equation to be solved at the same time is known as this.
System of Equations
The y-intercept and slope of each line
y = x + 4
y = 2x + 5
Y-intercepts : (0,4) and (0,5)
Slopes : 1 and 2
Describe how you know which variable to eliminate after you line up the equations.
8x + 5y = 9
-8x +20y = 16
Variable that has the same coefficient and opposite sign
The solution to the system of equations:
x = 4y
2x + 3y = 22
(8, 2)
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 of equations:
2x + 2y = -12
2x - 2y = -20
(-8, 2)
The solution to the system of equations:
y = x - 2
-3x + y = -16
(7, 5)
The answer to an equation or system of equations.
Solution
The solution to the system of equations:
y = 3x + 3
y = 3x - 2
No solution
The solution to the system of equations:
8x + 5y = 9
2x - 5y = -4
(-0.5, 1)
The solution to the system of equations:
y = 3x - 1
7x + 2y = 37
(3, 8)
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 of equations:
2x + 3y = 6
-3x - 5y = -15
(-15, 12)
The solution to the system of equations:
3x - 2y = 4
y = 2x - 1
(-2, -5)