One-Step Equations
x + 12 = 0
x = -12
6x – 13 = 11
x = 4
x + 3 + 3x = 7
x = 1
4x - 2 = 3x + 5
x = 7
Systems that each have the same slope but different y-intercepts are which type of line? Parallel, Coinciding (on top of each other) or Intersecting?
Parallel
y = x - 2
y= 3x + 8
(-5,-7)
4 = -8 + x
x = 12
3x + 5 = 14
x = 3
5 + 2x - 1 + 3x = 29
x = 5
9 - x = 6 + 2x
x = 1
Systems that have the same slope and the same y-intercepts are which type of line? Parallel, Coinciding (on top of each other) or Intersecting?
Coinciding (on top of each other)
y = -5x + 2
y = 6x - 9
(1,-3)
-16 = x - 2
x = -14
3 = -2 - x
x = -5
-45 = 3x + 4 + 4x
x = -7
2(x - 4) = 5x + 4
x = -4
How many solutions would this system have?
y=3x+4
y=2x - 5
One Solution
y = -x - 10
2x - y = -20
(-10,0)
5x = 80
x = 16
(x/2)+2=12
x = 20
14 = -(2a + 6) + 2
a = -9
x = 4
How many solutions would this system have?
y=3x+5
y=3x+5
An infinite number of solutions
y + 1 = -2(x - 3)
4x + 8y = 16
no solution
(x/2)=10
x = 20
Solve for y.
-12x + 4y = 32
y = 3x + 8
-k + 3(-7) = 7(5k - 8) - k
k = 1
6x - 15 + 4x = 5(2x - 3)
How many solutions would this system have?
y=1/3x + 4
y=1/3x - 3
No Solutions
-10x - 16y = 48
8x - 5y = 15
(0,-3)