Elimination Method for Linear Equations

Subtract the equations directly

Make the coefficients of one variable the same

Solve for one variable first

Add the equations directly

Addition

Subtraction

Division

Multiplication

They remain the same

They are reversed

They are doubled

They are halved

Multiply both equations by a constant

Substitute y into one of the original equations

Add the equations again

Solve for z

0

1

2

3

Subtract a constant from both equations

Divide both equations by a common factor

Multiply one or both equations by a suitable number

Add a constant to both equations

The equations become identical

The x terms are eliminated

The solution is found directly

The y terms are eliminated

Elimination method

Substitution method

Graphical method

Matrix method

It provides a visual representation

It simplifies the process of eliminating variables

It is applicable to all types of equations

It requires fewer calculations

Graph the solution

Solve another pair of equations

Check for errors in calculations

Verify the solution by substitution