Elimination Method in Algebra

The video tutorial explains how to eliminate variables in a system of equations using multiplication and addition. First, it demonstrates multiplying an equation to eliminate the variable X by aligning coefficients. Then, it shows how to eliminate the variable Y by adding equations without further multiplication, as the coefficients are already aligned. The process involves transforming equations to simplify and solve them effectively.

What is the purpose of multiplying an equation by a specific number in the elimination method?

• To solve the equation directly

• To simplify the equation

• To change the variable

• To eliminate a variable

If the coefficient of x in the first equation is 72, what should the coefficient of x in the second equation be to eliminate x?

• 0

• 72

• 8

• -72

What is the result of multiplying the equation 9x + 8y = -3 by 8?

• 72x + 64y = -24

• -72x + 64y = -24

• -72x - 64y = 24

• -72x - 64y = -24

After modifying the equations, what operation is performed to eliminate the variable x?

• Division

• Addition

• Multiplication

• Subtraction

In the context of the video, what is the significance of the coefficients -10 and 10 for the variable y?

• They are equal, so y is eliminated

• They are different, so y is eliminated

• They are opposites, so y is eliminated

• They are the same, so x is eliminated

What is the final result after eliminating both variables in the equations?

• 4x = -4

• -4x = 4

• x = 4

• x = -4

Why is it unnecessary to multiply the second equation to eliminate y?

• The coefficients are already equal

• The coefficients are already opposites

• The coefficients are zero

• The coefficients are both positive