Solve the system by addition or substitution.
To solve a system of equations by addition or substitution, you need to have two or more equations. Once you have the equations, you can follow either the addition or substitution method to find the solution.
Addition method:
1. Make sure the equations are written in standard form (with variables on one side and constants on the other).
2. Choose one variable and eliminate it by adding or subtracting the equations. The goal is to create a new equation in which one variable cancels out.
3. Solve the new equation to find the value of one variable.
4. Substitute the found value back into one of the original equations and solve for the other variable.
5. Write the final solution as an ordered pair (x, y) where x represents the value of one variable and y represents the value of the other variable.
Substitution method:
1. Make sure the equations are written in standard form.
2. Solve one of the equations for one of the variables in terms of the other variable.
3. Substitute this expression into the other equation wherever that variable appears.
4. Solve the resulting equation to find the value of one variable.
5. Substitute the found value back into one of the original equations and solve for the other variable.
6. Write the final solution as an ordered pair (x, y) where x represents the value of one variable and y represents the value of the other variable.
It is important to note that the choice between addition and substitution method depends on the given equations. Some systems are easier to solve using one method over the other.