Equation: 1/xb x-c 1 1/xc x-a 1 1/xa x-b 1
Explanation:To understand the given equation, let's break it down into smaller parts and analyze each part individually.
Part 1: 1/xb x-c 1
This can be rewritten as:
1/(xb) * (x - c) = 1
Part 2: 1/xc x-a 1
This can be rewritten as:
1/(xc) * (x - a) = 1
Part 3: 1/xa x-b 1
This can be rewritten as:
1/(xa) * (x - b) = 1
Solving Part 1:Multiplying both sides of the equation by xb, we get:
(x - c) = xb
Solving Part 2:Multiplying both sides of the equation by xc, we get:
(x - a) = xc
Solving Part 3:Multiplying both sides of the equation by xa, we get:
(x - b) = xa
Conclusion:From the above equations, we can see that each part of the given equation represents a linear equation in the variable x. By solving these equations, we can find the values of x, which satisfy all three equations simultaneously.
HTML Bullet Points:
- Equation: 1/xb x-c 1 1/xc x-a 1 1/xa x-b 1
- Part 1: 1/(xb) * (x - c) = 1
- Part 2: 1/(xc) * (x - a) = 1
- Part 3: 1/(xa) * (x - b) = 1
- Solving Part 1: (x - c) = xb
- Solving Part 2: (x - a) = xc
- Solving Part 3: (x - b) = xa
- Conclusion: Each part represents a linear equation in the variable x. By solving these equations, we can find the values of x that satisfy all three equations.