24,621 views
30 votes
30 votes
Solve the equation for h and find the restrictions on the variables:
10h + hx = d - 5

User George Lee
by
3.2k points

2 Answers

19 votes
19 votes

Answer:


h=(d-5)/(10+x)

x ≠ -10

Explanation:

Given equation:


10h+hx=d-5

To solve for h, factor out h from the left side of the equation:


\implies h(10+x)=d-5

Divide both sides by (10 + x):


\implies (h(10+x))/(10+x)=(d-5)/(10+x)


\implies h=(d-5)/(10+x)

A rational function is undefined when the denominator is equal to zero.

Therefore, x ≠ -10.

User Tuna
by
2.9k points
6 votes
6 votes

Answer:

  • Solution: h = (d - 5)/(10 + x)
  • Restriction: x ≠ - 10

-----------------------------------------------

Given equation:

  • 10h + hx = d - 5

Solve the equation for h:

  • 10h + hx = d - 5 Given
  • h(10 + x) = d - 5 Factor out h
  • h = (d - 5)/(10 + x) Divide both sides by (10 + x)

The restriction is about the denominator, it can't be zero:

  • 10 + x ≠ 0 ⇒ x ≠ - 10
User QCring
by
2.5k points