Solving systems of equations by elimination kuta software

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How do you solve a system of equation by elimination?
Why does the elimination method work when solving a system of equations?
What is elimination method with example?

How do you solve a system of equation by elimination?

To Solve a System of Equations by Elimination.

Write both equations in standard form. ... .

Make the coefficients of one variable opposites. ... .

Add the equations resulting from Step 2 to eliminate one variable..

Solve for the remaining variable..

Substitute the solution from Step 4 into one of the original equations..

Why does the elimination method work when solving a system of equations?

The elimination method is one of the most widely used techniques for solving systems of equations. Why? Because it enables us to eliminate or get rid of one of the variables, so we can solve a more simplified equation.

What is elimination method with example?

Both the variables get eliminated. For example, let us solve two equations 2x - y = 4 → (1) and 4x - 2y = 7 → (2) by the elimination method. In order to make the x coefficients equal in both the equations, we multiply equation (1) by 2 and equation (2) by 1. By doing so we get, 4x - 2y = 8 → (3) and 4x - 2y = 7 → (4).