Question

Can someone help me with these three problems I don't know how to do them.

Answer 1

a) y = x/3

b) m = p - 5n

c) r = (t + 6s)/12

Explanation:

See the attached worksheet. The goal is to add/subtract/multiply and/or divide the individual terms until the "indicated variable" is isolated, and on the left (so that "variable =" ).

Answer 2

`\Huge \boxed{\tt{1.\,\,\, \tt{(x)/(3) = y}}}`

`\Huge \boxed{\tt{2.\,\,\, \tt{m = p - 5n}}}`

`\Huge \boxed{\tt{3.\,\,\,\tt{r = (t + 6s)/(12)}}}`

Explanation:

Question 1

To solve the equation x = 3y for y, we want to isolate y on one side of the equation.

Let's divide both sides of the equation by 3:

• 
  `\tt{(x)/(3) = (3y)/(3) }`

Simplifying this gives us:

• 
  `\tt{(x)/(3) = y}`

So, the solution for y is
`\tt{(x)/(3) = y}`.

Question 2

To solve the equation m + 5n = p for m, we want to isolate m on one side of the equation.

Let's subtract 5n from both sides of the equation:

• 
  `\tt{m + 5n - 5n = p - 5n}`

Simplifying this gives us:

• 
  `\tt{m = p - 5n}`

So, the solution for m is
`\tt{m = p - 5n}`.

Question 3

To solve the equation 12r - 6s = t for r, we want to isolate r on one side of the equation, as said before.

Let's add 6s to both sides of the equation:

• 
  `\tt{12r - 6s + 6s = t + 6s}`

Simplifying this gives us:

• 
  `\tt{12r = t + 6s}`

Now, divide both sides of the equation by 12:

• 
  `\tt{(12r)/(12) = (t + 6s)/(12)}`

Simplifying this gives us:

• 
  `\tt{r = (t + 6s)/(12)}`

So, the solution for
`\tt{r = (t + 6s)/(12)}`.

#BTH1

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