Question

If F1 + F2 = 100 and F1 - F2 = 20 then how F1 = 60 ?? I need the solution

Answer 1

To find F1, add the simultaneous equations F1 + F2 = 100 and F1 - F2 = 20, resulting in 2F1 = 120. Dividing by 2 gives F1 = 60.

Step-by-step explanation:

To solve for F1 given that F1 + F2 = 100 and F1 - F2 = 20, we can use the method of simultaneous equations. First, add the two equations together:

F1 + F2 + F1 - F2 = 100 + 20,

which simplifies to 2F1 = 120. Dividing both sides by 2 gives F1 = 60.

Therefore, the value of the force F1 is 60, and you can confirm this by substituting F1 back into either of the original equations to find the value of F2, which would be 40. Both solutions satisfy the original set of equations.

Answer 2

To find the value of F1, we can start by writing out the given equations in a more standard form.

First, we can rewrite the equation "F1 + F2 = 100" as "F1 = 100 - F2".

Then, we can rewrite the equation "F1 - F2 = 20" as "F1 = 20 + F2".

If we set these two equations equal to each other, we get "100 - F2 = 20 + F2".

If we simplify this equation, we get "80 = 2 * F2".

If we divide both sides of the equation by 2, we get "40 = F2".

Substituting this value back into either of the original equations, we can find that "F1 = 100 - F2" or "F1 = 100 - 40" which gives us "F1 = 60".

Therefore, the value of F1 is 60.