Solving Systems of Equations
Balance the Equation
One, All, or No Solutions
Distributing
Combine Like Terms
100
X = 2
Y = -2x + 9
Y = 5
100
X + 7 = 10
X = 3
100
Parallel Lines
No Solution
100
3(X+7)
3x+21
100
2x + 2x
4x
200
Y = 3X
X = -2Y + 70
X = 10
Y = 30
200
2X + 10 = 30
X = 10
200
Lines that intersect at one point.
One Solution
200
-4(X-12)
-4X + 48
200
4x - 3x
x
300
Y = 3X - 2
Y = -2X + 8
X = 2
Y = 4
300
2X + 4 = 3X + 1
X = 3
300
Lines that sit directly on top of each other
Infinite Solutions
300
2(2X - 3X + 3)
-2X +6
300
-3x + 5x + 6
-2x + 6
400
Y = 6X
4X + Y = 7
X = 7/10
Y = 21/5
400
2(X+7) = 4(X - 6)
X = 19
400
One Solution
400
-(x + 4)
-x -4
400
3x + 3(x -4) + 5
6x - 7
500
Y = 3/2X +7
X = -4
Y = 1
500
-3X - 5 = 4X + 30
x = -5
500
x + y = 10
x = 2y + 1
One Solution
X = 7
Y = 3
500
3(5x + 15) + 2(2x + 6)
19x + 53
500
6x - 5x + 4(x +2) - 10
5x - 2