Linear Systems - Solve by Elimination

Linear systems solved by elimination.
Linear systems are two equations and two unknowns.

When you solve by elimination, you combine the two equations such that one of the variables goes away.

Sometimes this is possible because of the way the variables line up. For instance 3x - 3x = 0, our first example.

Sometimes, you have to multiply one equation by a number so that when the equations are combined, the variable goes away. What would you combine with 2x to make it go away? -2x. ...

You may have to realign the variables.

You may have to multiply both equations by a number to eliminate one of the variables. We do not show an example of this here.

In each of these equations, we verify the solution (or point) is on both lines. In other words, we check our work.

Category:

Education

Tags:

• linear
• systems
• linear systems
• elimination
• combination