Solving Equations and Elimination Method

The video tutorial covers the elimination method for solving linear systems in grade 8 math. It explains how to multiply equations by constants to eliminate variables, ensuring coefficients are aligned for subtraction. The tutorial demonstrates solving a system of equations step-by-step, emphasizing the importance of integer operations and verifying solutions. The video concludes with a recap and a preview of solving word problems using the elimination method.

What is the primary goal of the elimination method in solving linear systems?

• To multiply equations by zero

• To solve for both variables simultaneously

• To find the sum of all coefficients

• To eliminate one variable by adding or subtracting equations

Why might you need to multiply an equation by a constant in the elimination method?

• To change the variable

• To make the coefficients equal or opposite for elimination

• To simplify the equation

• To increase the number of variables

What is the advantage of using coefficients that are multiples of each other?

• They change the variable

• They make elimination easier

• They simplify the equation

• They increase the number of solutions

What is the effect of multiplying an equation by zero?

• The equation becomes zero

• The equation remains unchanged

• The equation is invalid

• The equation is simplified

What is the advantage of using the elimination method over other methods?

• It is faster

• It requires fewer steps

• It is more accurate

• It eliminates variables directly

What is the effect of multiplying both sides of an equation by the same non-zero constant?

• The equation becomes zero

• The equation is invalid

• The equation remains equivalent

• The equation is simplified

What is the benefit of using coefficients that are multiples of each other?

• They simplify the equation

• They increase the number of solutions

• They make elimination easier

• They change the variable

What is a coefficient in a linear equation?

• The solution to the equation

• The number in front of a variable

• A constant number without a variable

• A variable in the equation

In the system of equations 6X + 5Y = 7 and 2X - 4Y = -26, what is the constant term in the first equation?

• 6

• 5

• 7

• X

What is the first step in eliminating a variable using multiplication?

• Divide the equations by a constant

• Subtract the equations

• Multiply one or both equations by a constant

• Add the equations together