Solving Simultaneous Equations

This video tutorial explains how to solve simultaneous equations using the substitution method. The instructor demonstrates the process with two examples, highlighting the steps of isolating a variable, substituting it into another equation, and solving for the unknowns. The tutorial emphasizes the efficiency of substitution when a variable is already isolated, and provides a clear, step-by-step approach to finding the solution.

What is the main advantage of using the substitution method over elimination?

• It is always faster.

• It requires fewer calculations.

• It is more accurate.

• It can be quicker if a variable is already isolated.

What is the first step in solving simultaneous equations using substitution?

• Multiply the equations.

• Add the equations together.

• Rearrange one equation to isolate a variable.

• Eliminate one variable.

After rearranging the first equation, what should be done next?

• Solve for y.

• Substitute the expression into the second equation.

• Check the solution.

• Graph the equations.

What is the value of y in the first example after solving the equation?

• 1

• 2

• 4

• 3

How do you find the value of x after determining y?

• Substitute y back into the original equation.

• Guess the value.

• Use the elimination method.

• Graph the solution.

In the second example, what is the first equation given?

• 3x + y = 7

• 3x - y = 7

• 10x + 3y = -2

• 10x - 3y = -2

What is the expression for y after rearranging the first equation in the second example?

• y = -3x + 7

• y = 7 - 3x

• y = 3x - 7

• y = 3x + 7

What is the next step after substituting y into the second equation in the second example?

• Graph the equation.

• Check the solution.

• Rearrange the equation.

• Solve for x.

What is the final value of x in the second example?

• 2

• 1

• 0

• 3

What is the final value of y in the second example?

• -1

• -4

• -3

• -2