How to Use Elimination to Solve a System Multiplying

The video tutorial explains the elimination method in algebra, focusing on finding common coefficients to solve equations. It demonstrates how to identify the least common multiple of coefficients and apply it to eliminate variables. The tutorial provides a step-by-step guide to solving equations using this method, concluding with a recap of the process.

What is the primary goal when using the elimination method in solving equations?

• To have the same coefficients for one of the variables

• To multiply all coefficients by zero

• To have different coefficients for each variable

• To eliminate all variables

What is the least common multiple of 2 and 7?

• 7

• 14

• 21

• 28

How do you adjust the coefficients of equations to be the same?

• By adding a constant to each equation

• By multiplying each equation by a different number

• By subtracting one equation from the other

• By dividing each equation by a common factor

What happens when you add two equations with opposite coefficients?

• The coefficients double

• The variable is eliminated

• The equations become identical

• The coefficients become zero

After finding the value of one variable, what is the next step?

• Solve for the other variable

• Multiply the variable by zero

• Ignore the other variable

• Add the variable to both equations