Solving Simultaneous Equations with Elimination

In this video, Josh from Techmath Channel demonstrates how to solve simultaneous equations involving three variables using the elimination method. The process involves combining equations to reduce them to two equations with two variables, then further reducing to one equation with one variable. The video provides a step-by-step guide on combining equations, solving for individual variables, and verifying the solutions through substitution.

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

• To eliminate all variables

• To find the sum of all variables

• To reduce the number of equations

• To solve for one variable at a time

What is the first step in solving simultaneous equations using the elimination method?

• Verify the solution

• Solve for one variable

• Eliminate one variable

• Combine all equations

When combining the first two equations, which variable is eliminated?

• X

• Y

• Z

• None

What is the result of combining the first two equations?

• An equation with one variable

• No equation

• An equation with three variables

• An equation with two variables

What is the result of combining two equations to eliminate a variable?

• A simplified equation

• A new equation with one less variable

• A new equation with more variables

• No change in the equation

Why is it necessary to modify the second equation before combining it with the third?

• To simplify the equation

• To eliminate the Z variable

• To make the coefficients equal

• To eliminate the X variable

What operation is performed on the second equation before combining it with the third?

• Division

• Subtraction

• Addition

• Multiplication

After combining the modified second equation with the third, what is the result?

• No equation

• An equation with one variable

• An equation with two variables

• An equation with three variables

Why is it necessary to modify an equation before combining it with another?

• To eliminate a variable

• To make the coefficients equal

• To solve for a variable

• To simplify the equation

What is the purpose of multiplying an equation before combining it with another?

• To eliminate a variable

• To simplify the equation

• To solve for a variable

• To make the coefficients equal