How to Solve a System of Equation Using Elimination

The video tutorial explains how to solve systems of equations using the elimination method. It begins by introducing the concept of elimination, emphasizing the need to eliminate one variable by adding equations. The tutorial then discusses finding the least common multiple (LCM) to adjust coefficients, ensuring one is positive and the other negative for cancellation. The process of solving the equations is demonstrated, leading to the final solution. The tutorial concludes with a recap of the steps involved in using elimination to solve systems of equations.

What is the primary goal when using the elimination method to solve systems of equations?

• To add the equations together

• To multiply the equations

• To eliminate a variable

• To find the greatest common factor

Why is it necessary to find the least common multiple (LCM) of coefficients in the elimination method?

• To find the solution directly

• To make the equations identical

• To simplify the equations

• To ensure coefficients cancel out

In the elimination method, why is it important to have one positive and one negative coefficient?

• To make the equations equal

• To ensure they cancel out

• To find the LCM

• To simplify the addition

What should be done after obtaining a single variable solution in the elimination method?

• Check the solution in both equations

• Multiply the equations again

• Solve for the other variable

• Add the equations once more

What is the final step in solving a system of equations using elimination?

• Multiply the equations

• Divide the equations

• Substitute back to find the other variable

• Add the equations