Question

What method do we use to solve homogeneous equations?

1) Substitution method
2) Elimination method
3) Graphical method
4) Reduction method

Answer 1

The reduction method for solving homogeneous equations involves identifying knowns and unknowns, finding appropriate equations, aligning and eliminating terms, substituting known quantities, and checking if the solution is reasonable.

Step-by-step explanation:

To solve homogeneous equations, the reduction method is often used, which entails the following steps:

1. Make a list of what is given or can be inferred from the problem as stated, identifying the knowns and unknowns.
2. Find the appropriate equation or set of equations that can help you solve the problem. If there are multiple unknowns, you may need to use more than one equation.
3. Multiply equations if necessary to align terms and eliminate variables.
4. Eliminate terms wherever possible to simplify the algebra.
5. Substitute the known quantities into the equation to obtain a numerical solution.
6. Check the answer to ensure it is reasonable and makes sense.