Solving Equations with Literal Equations

Solve the literal equation for the given variable.

• 2A/h
• 2/(h)
• 2Ah
• Ah/2

pV = nRT
solve for R

• R= pV/nT
• R= p/n + V/T
• R= pV - nT
• R= (pV-n)/T

Solve:
 $-\left(8x-4\right)-\left(6x-2\right)=6-4x+5x$  

• infinitely many solutions

• no solution

•  $x=0$  

•  $x=-2$  
  

Solve:

 $\frac{1}{2}\left(4y−8\right)=\frac{2}{5}\left(5y−10\right)$  

•  $y=0$  
  

•  $y=-3$  
  

• infinitely many solutions

• no solutions

 $6\left(x-6\right)=-44+6x$  

•  $x=0$  

•  $x=1$  

• Infinite Solutions

• No Solution

Solve the following equation:

3x + 1 + 2x = 4x − 2 − 7x + 7

• x = 2

• x = ½

• infinitely many solutions

• no solutions

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)
• (0,-1)
• (3,4)
• (4,3)

Solve:
y = 2x -11
-3y = -6x -15

• (-1.5,-4)
• (1.5,4)
• No solution (parallel lines)
• Infinitely many solutions

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63
• 7x = 63
• 7x - 35 = 63
• 35x + 7 = 63

A bag of candy was shared equally among 4 friends.  Each friend gave away 7 pieces of candy.  They each ended up with 8 pieces of candy.  Write an equation to find how much candy was in the bag at the beginning.

• c/7 - 4 = 8
• c/4 + 7 = 8
• 4/c - 7 = 8
• c/4 - 7 = 8