Solving Equations Like Terms and Variables on Both Sides

In order to solve an equation, we must get variables on side of an equation, and constants on the opposite side.

• True

• False

3y - 8 = 7y

• y = 4

• y = -4

• No Solution

• Infinite Solutions

7w + 5 = 3w - 15

• w = 5

• w = -2

• w = 2

• w = -5

9r - 6 = 10r

• r = -6

• r = 6

Mathematical Equivalence

OFF

-3t - 10 = -2 - 2t

• t = 8

• -8 = t

6n = -10 + n

• n = -10/6

• n = 14

• n = 2

• n = -2

-4k - 8 = -7k + 7

• 3k - 8 = 7

• k = -5

• k = 5

Solve for x: 17x - 11x = 18

• 6x = 18

• x = 3

• x = -3

Solve for t: 5t - 4t = 5

• t = 5

• t = 5/9

• t = -5