Solve a System of Equations Using Elimination with Fractions

The video tutorial explains how to solve equations using the elimination method. It begins by addressing the challenge of fractions and demonstrates how to eliminate them by finding the least common denominator. The tutorial then focuses on aligning coefficients to facilitate elimination, followed by solving for the variables X and Y. The final section verifies the solution and provides a recap of the process.

What is the least common denominator used to eliminate fractions in the given equations?

• 8

• 12

• 10

• 6

Why is it important to have the same coefficient for a variable in both equations when using elimination?

• To simplify the equations

• To eliminate one variable by addition or subtraction

• To make the equations identical

• To avoid fractions

What operation is performed after aligning the coefficients to eliminate a variable?

• Addition or Subtraction

• Exponentiation

• Division

• Multiplication

After finding the value of one variable, what is the next step in solving the system of equations?

• Substituting the value back into one of the original equations

• Graphing the equations

• Checking the solution with a calculator

• Rewriting the equations

How do you handle fractions when solving for the second variable?

• Convert them to decimals

• Multiply by zero

• Ignore them

• Ensure common denominators are used