Final answer:
There are several ways to solve a system of linear equations in two variables: graphing method, substitution method, and elimination method. Each method has its own steps and is used based on the specific system of equations.
Step-by-step explanation:
There are several ways to solve a system of linear equations in two variables. Some common methods include:
- Graphing method: In this method, you graph both equations on the same coordinate plane and find the point of intersection, which represents the solution to the system.
- Substitution method: In this method, you solve one equation for one variable in terms of the other variable and substitute this expression into the other equation. You then solve the resulting equation for the remaining variable.
- Elimination method: In this method, you add or subtract the two equations to eliminate one variable, resulting in a new equation with only one variable. You then solve this new equation to find the value of the variable, and substitute this value back into one of the original equations to solve for the other variable.
It's important to note that each method may be more convenient to use depending on the specific system of equations, and some systems may require a combination of methods to solve.