Solve the system of equations below.
x - y = 2
x = -2
(-2, -4)
What is the solution of the system of equations below?
3x + 2y = 12
5x - 2y = 4
(2, 3)
What is the solution to this system of equations?
no solution
The point where two lines intersect.
The solution
Solve the system of equations below.
y = -2x + 2
y = -2x - 2
No Solution
Solve for the y in the system of equations below?
2x - 5y = 11
-2x + 3y = -9
y = -1
(3, -1)
What is the solution to this system of equations?
(-1,3)
The method where you can eliminate one of the variables.
The elimination method.
Solve for the x in the system of equations below.
3x + 5y = 41
y = 4x - 1
x = 2
(2, 7)
What is the solution of the system of equations below?
-4x - 2y = -12
4x + 8y = -24
(6, -6)
If a system of equations has NO SOLUTIONS and this is one equation, what would be the other equation?
y = -5x - 4
Any equation in y = mx + b form with a slope of -5, but a different y-intercept.
Ex: y = -5x + 4
The type of solution when you graph a set of parallel lines.
No solution.
Solve the system of equations below.
x = -2y + 1
3x + 6y = 3
Infinite Solutions
Solve for the x in the system of equations below?
x - y = 11
2x + y = 19
x = 10
(10, -1)
If a system of equations has INFINITE SOLUTIONS and this is one equation, what would be the other equation?
y = 2x + 4
y = 2x + 4
How do you express the solution for a system of equations?
An ordered pair.
Solve the system of equations below.
2y = 10x - 14
-3x - 2y = -12
(2, 3)
What is the solution of the system of equations below?
x - 3y = 1
2x + 2y = 10
(4, 1)
Is the point (2,-1) the solution to this system of equations?
y = 3x - 7
4x - 5y = 13
yes
The method you can use if both equations are in slope-intercept form?
Graphing or Substitution