To solve a system of two linear equations with two variables, we can use various methods. The two most common methods are the substitution method and the elimination method. Linear Equation Calculator:

Let’s say we have a system of two linear equations:

1. $ax+by=c$
2. $dx+ey=f$

Method 1: Substitution Method

1. Solve one of the equations for one variable
2. Substitute the expression from step 1 into the other equation.
3. Solve the resulting equation for the remaining variable.
4. Substitute the value found in step 3 into the equation from step 1 to find the other variable’s value.

Method 2: Elimination Method

1. Multiply one or both equations by appropriate constants so that the coefficients of one of the variables in both equations become the same (or multiples of each other).
2. Add or subtract the equations to eliminate one of the variables. This will result in a new equation with only one variable.
3. Solve the equation from step 2 for the remaining variable.
4. Substitute the value found in step 3 into one of the original equations to find the other variable’s value.

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