Solve Systems by Graphing
x + y = -3
y = x + 3
What is (-3, 0)
y = x
y = 2x - 4
What is (4, 4)
y = 2
y = 2x - 4
What is (3, 2)
y = 2x
y - x = 15
What is (15, 30)
A system of equations
What is "a set of two or more equations?"
y = 2x
y = x + 1
What is (1, 2)
y = x + 3
y = -2x - 3
What is (-2, 1)
x = 6
2x - y = 5
What is (6, 7)
y = x + 5
y = 6
What is (1, 6)
This is what the solution to a system of equations looks like.
What is "coordinate pair"
y = 3x
y - 4 = 3x
What is no solution
y - 4x = 8
y = 2(2x + 4)
What is colinear, infinitely many solutions
y = x - 10
y = -12
What is (-2, -12)
x + y = -3
y = x + 3
What is (-3, 0)
This is how you know when you have solved a system of equations.
What is "you will have an intersections point?"
y = -2x
x = 0
What is (0, 0)
x - y = 3
y = x - 3
What is colinear, infinitely many solutions
y = -2x
x = 0
What is (0, 0)
y = x + 12
y + x = 36
What is (12, 24)
This is what you are doing when you draw the lines and find the point of intersection.
What is solve systems of equations by graphing.
y = 1/4 x
x + 4y = 8
What is (4, 1)
y = 1/4x
4y - x = 8
What is no solution
x = 1/3
y = 9x + 6
What is (1/3, 9)
y = 2x - 3
x + y = 18
What is (7, 11)
When you find the point of intersection by substituting expressions or values for variables you are solving the system in this way.
What is solving systems of equations algebraically.