Algebra Linear Equations Variables on Both Sides

3y - 8 = 7y

• y = 4

• y = -4

• No Solution

• Infinite Solutions

8x - 8 = -4x + 16

• x = 8

• x = 16

• x = 24

• x = 2

7w + 5 = 3w - 15

• w = 5

• w = -2

• w = 2

• w = -5

Solve for f:
f - 4 = 6f + 26

• f = -5

• f = 5

• f = 6

• f = -6

6x + 10 = 2(3x + 4)

• x = 0

• x = 2

• No solutions

• Infinite solutions

Solve for x:
5x - 14 = 8x + 4

• x = 6

• x = -6

• x = -18/13

• x = 10/3

4(6k - 12) = 3(8k - 16)

• x = 3

• x = -3

• no solutions

• infinite solutions

Solve:
2(4x-3) - 8 = 4 + 2x

• x = 5/3

• x = 3

• x = 1

• x = 2

Solve the equation
12x - 15 = 3(2x+3)

• x = 4

• x = -4

• x = 2

• x = -2

To isolate a variable in a linear equation, you...

• use inverse operations to "undo" whatever is being done to the variable, remembering to do the same thing to both sides to keep them equal

• use inverse operations to "undo" whatever is being done to the variable, remembering to do the same thing to both sides to keep them different

• use similar operations to "undo" whatever is being done to the variable, remembering to do the same thing to both sides to keep them equal

• use inverse operations to "undo" whatever is being done to the number, remembering to do the same thing to both sides to keep them equal