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 other equation, and solving for the remaining variable. The tutorial concludes with verifying the solution by substituting the values back into 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.

• Multiply both equations by a constant.

• Rearrange one equation to isolate a variable.

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

• X

• W

• Y

• Z

After isolating X in the first equation, what expression do we substitute into the second equation?

• X = 3 - y

• X = 3 + y

• X = y + 3

• X = y - 3

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

• Solve for X

• Solve for W

• Solve for Y

• Solve for Z

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

• 2

• 3

• 0

• 1

Once Y is found, into which equation is it substituted to find X?

• Equation 4

• Equation 1

• Equation 2

• Equation 3

What is the value of X after substituting Y into the rearranged equation?

• 2

• 4

• 3

• 1

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

• By checking if X and Y satisfy both original equations.

• By checking if X and Y are integers.

• By checking if X and Y are both positive.

• By checking if X is greater than Y.