Solving Systems of Linear Equations by Graphing
Solve the system of linear equations by graphing:
y = 2x + 9
y = -x + 6
(-1,7)
Solve the system of linear equations by substitution:
y = x - 4
y = 4x - 10
(2,-2)
Solve the system of linear equations by elimination:
x + 3y = 5
-x - y = -3
(2,1)
How many solutions does this system have?
y=5x + 12
y=5x + 18
No Solution
Solve the system of linear equations by graphing:
y = x + 4
y = -x + 2
(-1,3)
Solve the system of linear equations by substitution:
y = 2x + 5
y = 3x - 1
(6,17)
Solve the system of linear equations by elimination:
x - 2y = -7
3x + 2y = 3
(-1,3)
How many solutions does this system have?
y=5x - 10
y=x + 10
One Solution
Solve the system of linear equations by graphing:
y = 2x + 5
y = 0.5x - 1
(-4,-3)
Solve the system of linear equations by substitution:
x = 2y + 7
3x - 2y = 3
(-2, -4.5)
Solve the system of linear equations by elimination:
2x + 7y = 1
2x - 4y = 12
(4,-1)
How many solutions does this system have?
y=-6x + 6
y=6 + -6x
Infinitely Many
Solve the system of linear equations by graphing:
x + y = 7
y = x + 3
(2,5)
Solve the system of linear equations by substitution:
2x = y - 10
x + 7 = y
(-3,4)
Solve the system of linear equations by elimination:
2x - y = 0
3x - 2y = -3
(3,6)
How many solutions does this system have?
y=-x - 3
y=2x + 3
One Solution