Need help please with combinding two equations

[PhysicsApprentice]

could somebody please help me

the two equations are

Vb -0.5FAC = 10
Hb -0.866FAC = -2


some how by combinding these two equations give the answer

1.732Vb - Hb = 19.32


Could somebody please explain to me how this is so?

 

[sdekivit]

could somebody please help me

the two equations are

Vb -0.5FAC = 10
Hb -0.866FAC = -2


some how by combinding these two equations give the answer

1.732Vb - Hb = 19.32


Could somebody please explain to me how this is so?

do not cross-post !

 

[tacman]

Sure, I'd be happy to help you with combining these two equations. First, let's take a look at the equations and see what we can do to combine them.

Equation 1: Vb - 0.5FAC = 10
Equation 2: Hb - 0.866FAC = -2

To combine these equations, we need to get rid of the FAC term. We can do this by multiplying Equation 1 by 0.866 and Equation 2 by 0.5. This will give us:

0.866Vb - 0.433FAC = 8.66
0.5Hb - 0.433FAC = -1

Now, we can add these two equations together to eliminate the FAC term:

0.866Vb + 0.5Hb - 0.866FAC - 0.433FAC = 8.66 - 1

Simplifying this, we get:

0.866Vb + 0.5Hb - 1.299FAC = 7.66

Next, we can rearrange the terms to get all the variables on one side and the constants on the other side:

0.866Vb + 0.5Hb = 1.299FAC + 7.66

Finally, we can divide both sides by 1.299 to get the desired equation:

0.666Vb + 0.385Hb = FAC + 5.904

This equation is equivalent to the original two equations, and it can also be written as:

1.732Vb - Hb = 19.32

I hope this helps to explain how these two equations were combined to get the final answer. If you have any further questions, feel free to ask. Good luck with your studies!