___________ involves isolating the variable in one equation and replacing the same variable in the other equation with this expression.
what methods of solution have you discussed?
Elimination and substitution
That is substitution.
The process you are referring to is called "substitution." In algebraic equations, if we have a system of equations where two or more equations are given, we can use substitution to solve for the variable values.
To use substitution, follow these steps:
1. Choose one equation from the system.
2. Isolate one of the variables in terms of the other variable(s) in that equation.
3. Substitute this expression for the isolated variable into the other equation(s) in the system.
4. Solve the resulting equation to find the value of the remaining variable(s).
5. Substitute the value(s) found in step 4 back into one of the original equations to find the value(s) of the other variable(s).
6. Check the solution by substituting the values back into both original equations to ensure they hold true.
By using this method, you can find the values of variables in the given system of equations.