Types of Solutions

7-2x-3x=10-5x

0 = 3, No solution

a − a = −5

0=-5 No Solution

0 = 4x − 4x

0=0 Infinite Solution

x = 5

10 + 5x = 7x

x = x, Infinite Solutions

10-x-6=9x+4-10x

x = 2

11x - 21 = 17 - 8x

4 = 9, No solution

11x+4-3x=-2x+9+10x

2x+14=-3+2x+17

14 = 14 Infinite Number of solutions

1 = 5 + p − p

1=5 No Solution

4 = -8, No Solution

2(x + 2)=2x − 8

x = 1

22x - 20 = 2x

x = 2, One Solution

2x + 1=x + 3

x = 6

2x + 7 = x + 3 + 10

x = 0, One Solution

2x+1-4=-2x-3

2x+ 14 = 2x + 14, Infinite Solutions

2x+14=-3+2x+17

3 = 7, No solution

2x+3=2x+7

x + 7 = x + 7, Infinite Solutions

2x-x+7=x+3+4

2x+3=2x+7

3 = 7, No solution

x = 12

3(x - 1) = 2x + 9

5n x 7y = 7y x 5n

35ny=35ny

5x + 3 - 4x = 3 + x

3=3 Infinite Solutions

11x+4-3x=-2x+9+10x

4 = 9, No solution

x = 1/2

4(x + 1) = 4(2 - x)

one solution

4(x + 1) = x - 2

4 + 2x = 4 + 2x, Infinitely Solutions

4+2x=4−x+3x

10-x-6=9x+4-10x

4=4, Infinite Number of Solutions

x = -3

4x + 2x + 2 = 3x - 7

x = -4

4x + 2x - 5 = 7x - 1

x = 3

5x - 16 = 14 - 5x

Infinitely Many solutions

6(x + 1) + 5 = 13 - 2 + 6x

x = 7/5 or 1.4, One Solution

6x-3x+9=2+8x

7 = 10, No solution

7-2x-3x=10-5x

2x-x+7=x+3+4

7=7, Infinite Number of Solutions

x = 0

8(x + 2) = 2x + 16

x = -7

8x − 2 = −9 + 7x

Infinite Solution

Not all numbers will work in an equation but the number of answers is infinite

All Real Numbers

When all numbers work in an equation

No Solution

When any answer doesn't work

x+2x+3+4=5x+7+6x+8

x = -1, One Solution

6x-3x+9=2+8x

x = 7/5 or 1.4, One Solution

x = -1, One Solution

x+2x+3+4=5x+7+6x+8

x + 3 = x +3

x=x All Real Numbers