What are two symbolic techniques used to solve linear equations? The only thing I find is eliminating or substuting is that right?
Those are the only 2 that I know.
Yes, you are correct. The two symbolic techniques commonly used to solve linear equations are elimination method and substitution method.
1. Elimination Method:
To solve a system of linear equations using elimination method, follow these steps:
- Start with a system of equations in standard form (where the variables are on the left side and constants on the right side).
- If necessary, rearrange the equations so that the coefficients of either the x or y terms in both equations are opposites of each other.
- Add or subtract the equations (term by term) to eliminate one variable. This will result in a new equation with only one variable.
- Solve the resulting equation for the remaining variable.
- Substitute the value of this variable back into one of the original equations to find the value of the other variable.
- Check your solution by substituting the values back into the original equations.
2. Substitution Method:
To solve a system of linear equations using substitution method, follow these steps:
- Choose one of the equations and solve it for one variable in terms of the other variable.
- Substitute this expression into the other equation for the same variable.
- Solve the resulting equation with only one variable.
- Substitute the value of this variable back into the original equation to find the value of the other variable.
- Check your solution by substituting the values back into the original equations.
Both methods can be effective in solving linear equations, but the choice of method may depend on the specific problem and personal preference.