Solving Systems of Equations with Elimination and Multipliers

This video tutorial explains how to solve systems of equations using the elimination method. It covers the process of eliminating variables by adjusting coefficients through multiplication, followed by solving for the remaining variable. The tutorial includes two examples, demonstrating the elimination of variables and substitution to find solutions. Key concepts such as distributing multiplication across equations and using inverse operations are highlighted.

What is the first step in the elimination method for solving systems of equations?

• Add the equations directly without modification

• Graph both equations to find the intersection

• Multiply equations to align coefficients

• Substitute values from one equation into another

To eliminate the y variable, what should the coefficients of y be?

• They should be prime numbers

• They should be opposites

• They should be the same sign

• They should be equal

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

• To make the coefficients equal

• To simplify the equations

• To eliminate one of the variables

• To find the value of the constant term

After eliminating the variable, what is the next step to find the value of x?

• Multiply the equation by the coefficient of x

• Divide the equation by the coefficient of x

• Subtract the constant term from both sides

• Add the constant term to both sides

How do you find the y value after determining x?

• Substitute x into any original equation and solve for y

• Add x to the constant term in any equation

• Multiply x by the coefficient of y in any equation

• Graph the equation and find y intercept

What is required to change the signs of the coefficients in the elimination method?

• Multiply by a negative number

• Divide by a negative number

• Add a negative number

• Subtract a negative number

What is the result of combining 6x and -6x in the elimination process?

• 6x

• 12x

• -12x

• 0

After eliminating x, what operation is used to solve for y?

• Addition

• Subtraction

• Division

• Multiplication

How do you find the x value after solving for y?

• Substitute y into any original equation and solve for x

• Multiply y by the coefficient of x in any equation

• Graph the equation and find x intercept

• Add y to the constant term in any equation

What is the correct ordered pair solution for the second example?

• (4, -3)

• (-3, 4)

• (-4, 3)

• (3, -4)