Solve the equation for the indicated variables. (Confused!! )

Question

1. Y=3/8(X+4) for X 

 

3. h-j=4(h+j) -7 for h 

 

4. n=m^2 - (n+3) for m 

Answer 1

What this means is that we need to isolate the particular variable

 

1

Y = ³/₈(x+4)

Y = ³/₈ x + ³/₂

Y - ³/₂ = ³/₈ x

⁸/₃(Y - ³/₂) = x

If you wish to distribute...:

⁸/₃Y - 4 = x

 

3:

h - j = 4(h + j) - 7

h - j = 4h + 4j - 7

h - 5j = 4h - 7

-5j = 3h - 7

-5j + 7 = 3h

(7 - 5j) / 3 = h

Distribution answer:

⁷/₃ - ^5j/₃ = h

 

4

n = m² - (n + 3)

n + (n + 3) = m²

2n + 3 = m²

±√(2n + 3) = m

Answer 2

1)

 

Manipulate the equation to isolate X on one side of the equation.

 

3)

 

Manipulate the equation to isolate h on one side of the equation.

 

 

At this point you get the idea.  That should clear up any confusion.