Substitution Method:
The substitution method is a technique used to solve a system of linear equations by solving one equation for one variable and then substituting that value into the other equation. Here's an example:
Given the system of equations:
2x + 3y = 11
4x - y = 5
1. Solve the first equation for x:
2x = 11 - 3y
x = (11 - 3y) / 2
2. Substitute x into the second equation:
4((11 - 3y) / 2) - y = 5
Simplify to get the value of y.
3. Once y is found, substitute it back into the first equation to solve for x.

Elimination Method:
The elimination method is another technique used to solve a system of linear equations by adding or subtracting the equations to eliminate one variable. Here's an example:
Given the system of equations:
3x + 2y = 8
2x - 3y = 1
1. Multiply the first equation by 3 and the second equation by 2 to make the coefficients of x the same:
9x + 6y = 24
4x - 6y = 2
2. Add the two equations together to eliminate the variable y:
13x = 26
3. Solve for x and substitute the value of x back into one of the original equations to solve for y.
By using either the substitution method or the elimination method, you can efficiently solve systems of linear equations with two variables. Each method has its advantages and may be more suitable depending on the specific equations given.