One way to solve a system of equations is through methods like substitution or elimination. These involve manipulating the equations to eliminate one variable, solving for the remaining variable, and then substituting the solution back into the original equations to find the values of the variables.
One way to solve a system of equations is by using the substitution method or the elimination method. In the substitution method, you solve one of the equations for one variable and then substitute that expression into the other equation. In the elimination method, you manipulate the equations to eliminate one of the variables by adding or subtracting the equations.
The steps typically involve:
1. **Write down the system of equations.**
![\[ \begin{cases} ax + by = c \\ dx + ey = f \end{cases} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/xm36w4bm5ojdkz74hpsg65qzfgmsbhc0pg.png)
2. **Choose a method (substitution or elimination).**
3. **Apply the chosen method to eliminate one variable.**
4. **Solve the resulting equation for the remaining variable.**
5. **Substitute this value back into one of the original equations to find the other variable.**
6. **Check the solution by substituting the values into the other original equation.**
This process provides the values of the variables that satisfy both equations simultaneously, giving the solution to the system of equations.
The probable question may be:
One way to solve a system of equations is