Solving Simultaneous Equations

This video tutorial demonstrates how to solve a pair of simultaneous equations using the substitution method. The process involves rearranging one equation to isolate a variable, substituting this expression into the second equation, and solving for the other variable. Once one variable is found, it is substituted back to find the first variable. The solution is verified by checking the original equations.

What is the first step in using the substitution method to solve simultaneous equations?

• Add the two equations together

• Divide both equations by a constant

• Rearrange one equation to isolate a variable

• Multiply both equations by a constant

In the given example, which variable is isolated in the first equation?

• W

• Y

• Z

• X

After isolating X in the first equation, what expression is X equal to?

• 3 + y

• 3 - y

• y - 3

• y + 3

What is the next step after substituting the expression for X into the second equation?

• Multiply both sides by 2

• Rearrange the second equation

• Solve for Y

• Solve for Z

What is the value of Y after solving the second equation?

• 2

• 1

• 0

• 3

Once Y is found, how is the value of X determined?

• By substituting Y into the second equation

• By substituting Y into the first equation

• By subtracting Y from the second equation

• By adding Y to the first equation

What is the final value of X in the solution?

• 3

• 2

• 1

• 0

How can you verify that the solution for X and Y is correct?

• By checking if the values satisfy both original equations

• By checking if the values satisfy only the first equation

• By checking if the values satisfy only the second equation

• By substituting the values into a new equation