Elimination Strategies for Systems of Equations

The video tutorial explains the elimination strategy for solving systems of equations. It covers multiplying equations to align terms, combining like terms, and solving for variables. The focus is on making coefficients equal and opposite to eliminate one variable, simplifying the system to find solutions.

What is the primary goal of using elimination strategies in solving systems of equations?

• To find the sum of all variables

• To add new variables to the system

• To eliminate one variable to solve for the other

• To multiply all terms by zero

What is the purpose of multiplying both equations in the elimination method?

• To align coefficients for elimination

• To make the equations longer

• To simplify the equations

• To add more variables

When focusing on eliminating the x variable, what is the first step?

• Subtract the equations

• Multiply the equations to make x coefficients equal and opposite

• Add the equations together

• Divide the equations by x

What common number is used to align the coefficients of x in the given example?

• 7

• 4

• 5

• 6

After aligning the coefficients of x, what is the next step in the elimination process?

• Divide the equations by y

• Multiply the equations again

• Subtract the equations to eliminate x

• Add the equations to eliminate x

What is the result of combining like terms after aligning the coefficients of x?

• x is doubled

• x is eliminated

• y is eliminated

• The system is unsolvable

What is the value of y after solving the system of equations?

• 14/3

• 35/6

• 30/5

• 21/4

What is the next step after finding the value of y?

• Divide y by x

• Add y to the original equations

• Multiply y by 2

• Solve for x using the value of y