AU 2.5 Literal Equations Difficult

Solve for the variable  $m_2$  using the following formula:
 $F=G\frac{m_1\times m_2}{r²}$  

(This Newton's law of universal gravity formula)

•  $m_2=G\frac{m_1\times F}{r²}$  

•  $m_2=\frac{F\times r²}{G\times m_1}$  

•  $m_2=\frac{r²\left(F-G\right)}{m_1}$  

•  $m_2=\frac{Fr²-G}{m_1}$  

Answer explanation

 $m_2$  is being divided by r², so both sides needts to be multiplied by r².  $m_2$  is also being multiplied by G and  $m_1$  , so both sides of the equation needs to be divided by both G and  $m_2$  .

This will leave the equation:
 $m_2=\frac{F\times r²}{G\times m_1}$  

How do you solve a literal equation?

• By isolating the variable using inverse operations

• By dividing by zero

• By substituting values for the variables

• By rearranging the equation to solve for a letter

Solve -2 = 4r + s for s.

• s = -4r + 2

• s = 4r - 2

• s = -4r - 2

• s = 4r + 2

Solve for x.

z = xy

• x = ^z/_y

• x = ^y/_z

• x = yz

• x = z - y

Solve for r:
$LA\ =\ 2\pi rh$

Solve for p
$SA\ =hp\ +\ 2B$

Solve for h
$V\ =\ lwh$

Solve for r.

• A
• B
• C
• D

Answer explanation

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