Solve Rational Equations with Variables on Both Sides

2+14a=-8+9a

• a = 2

• a = -2

• a = ⁶⁄₅

• a = 1

-8-5a=12-9a

• a = 5

• a = 1

• a = -2

• a = -1

(²⁄₃)a+1=16-a

• a = 0

• a = 9

• a = 22.5

• a = -3

3a-24=-a

• a = 6

• a = 12

• a = -8

• a = -12

Tags

CCSS.7.EE.B.4A

-1.3r + 5.2 = 1 - 2.7r

• r = -1.05

• r = 2

• r = 5

• r = -1

4.3(v + 2.5) = 8.11 + 4v

• v = -8.8

• v = 4.5

• v = 12

• v = 9

Tags

CCSS.8.EE.C.7B

14.2 = -11.6 + 2t

• 1.3

• 12.9

• -1.3

• -12.9

Tags

CCSS.7.EE.B.4A

8-3a+12=2a

• a = 4

• a = 1

• a = 3

• a = 5

Solve for x:
4(1-x) + 3x = -2(x+1)

• x = -6

• x = 6

• x = 3

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation