2.4 - Solving Equations

1) 6r + 7 = 13 + 7r

Tags

Solving Equations with Variables on Both Sides

13 − 4x = 1 − x

−7x − 3x + 2 = −8x − 8

7x - 4 = 3 + 8x

• x = 7
• x = -7
• x = 2/7
• x = 11

f - 4 = 6f + 26

• f = -5
• f = 5
• f = 6
• f = -6

-5k + 10 = -2k - 14

• 8
• -8
• 2
• -2

Solve for the variable.

10x + 9 = 4x - 9

• x = 18

• x = 3

• x = -3

• x = -18

What is the first step to solve this equation?

3x + 6 = 10 + 3x + 4x 

• Add 4x to both sides of the equation

• Combine like terms 3x and 4x on the same side of the equation

• Add 3x and 6 to get 9x

• Add 6 and 10 to get 16

3(x - 1) = 2x + 9

• Infinite Solutions

• No Solution

• x = 12

• x = -3

2(x + 6) + 3 = 9 + 5x

• 16
• 2
• -8
• -10