Elimination Method in Simultaneous Equations

The video tutorial explains how to solve simultaneous equations using the elimination method. It covers five examples, demonstrating how to add or subtract equations to eliminate variables and solve for unknowns. The tutorial also addresses handling negative values and rearranging equations for easier solving.

What is the primary goal of the elimination method in solving simultaneous equations?

• To divide the equations

• To eliminate one of the variables

• To find the sum of the equations

• To multiply the equations

In the first example, what happens when you add the two equations together?

• Neither X nor Y terms cancel out

• Both X and Y terms cancel out

• The Y terms cancel out

• The X terms cancel out

After finding the value of X in the first example, what is the next step?

• Solve for Z

• Multiply the equation by 2

• Rearrange the equation

• Find the value of Y

In the second example, why is subtraction used instead of addition?

• To simplify the equations

• To add more variables

• To eliminate a variable

• To make the equations longer

What is the result of subtracting the equations in the second example?

• Neither X nor Y terms cancel out

• Both X and Y terms cancel out

• The Y terms cancel out

• The X terms cancel out

In the third example, what is the first step before using elimination?

• Add the equations

• Divide the equations

• Rearrange the equations

• Multiply the equations

What is the purpose of rearranging the equations in the third example?

• To simplify the process of elimination

• To add more variables

• To make them more complex

• To make them longer

In the fourth example, what is unique about the subtraction method used?

• It adds the equations

• It subtracts the top equation from the bottom

• It divides the equations

• It multiplies the equations

Why might one prefer to subtract the bottom equation from the top in the fourth example?

• To make the equations more complex

• To add more variables

• To make the equations longer

• To avoid negative numbers