Solve Systems by Substitution
x + y = -3
y = x + 3
What is (-3, 0)
-x +y = 0
-2x+ y = - 4
What is (4, 4)
y = 2
y = 2x - 4
What is (3, 2)
y = 2x
y - x = 15
What is (15, 30)
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)
3y = 3x + 15
4y = 4x + 20
What is (1, 6)
What does the solution to a system of equations look like?
What is "coordinate pair"
y = 3x
y - 4 = 3x
What is no solution
y - 4x = 8
-4x + y = 8
What is infinitely many solutions
y = x - 10
y = -12
What is (-2, -12)
x + y = -3
y = x + 3
What is (-3, 0)
How do you know when you have solved a system of equations?
y = -2x
x = 0
What is (0, 0)
x - y = 3
-x + y = - 3
What is infinitely many solutions
y = -2x
x = 0
What is (0, 0)
y = x + 12
2y +2x = 72
What is (12, 24)
How many solutions will a system of linear equations have?
One, zero, or infinitely many.
y = 1/4 x
x + 4y = 8
What is (4, 1)
-1/4x + y = 0
-x + 4y = 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)
What kind of lines when graphed will give you no solution in a system?
Parallel lines.