Substitution Method in Simultaneous Equations

This video tutorial explains how to solve simultaneous equations using the substitution method. It begins with an introduction to simultaneous equations, highlighting the need for solving them together. The video then details the substitution method, providing a step-by-step example to illustrate the process. Viewers are given practice problems to apply what they've learned, followed by a conclusion with tips for using substitution effectively. The tutorial emphasizes the reliability of substitution over elimination in certain cases.

What is the primary reason for using substitution over elimination in solving simultaneous equations?

• Substitution is easier to understand.

• Elimination is not always applicable.

• Substitution is faster.

• Elimination requires more equations.

Which of the following is NOT a characteristic of a linear equation?

• Can be rearranged to y = mx + c.

• Has no cubed terms.

• Includes squared terms.

• Contains variables like x and y.

In the example problem, what is the first step in solving the equations by substitution?

• Check the solutions.

• Substitute x into the quadratic equation.

• Rearrange the linear equation to y = form.

• Factorize the quadratic equation.

After finding the x-values, what should be done next in the substitution method?

• Solve for y-values using the linear equation.

• Check the solutions in the quadratic equation.

• Graph the solutions.

• Rearrange the quadratic equation.

What are the solutions obtained in the example problem discussed in the video?

• 0, 0 and 1, 1

• Negative 1, 2 and 2, 5

• 2, 4 and 3, 5

• 1, 3 and 6, 13

What should you always do after finding solutions to simultaneous equations?

• Memorize the solutions.

• Solve another set of equations.

• Double-check the solutions.

• Graph the solutions.

In the practice problem involving a circle and a line, what is the process used?

• Graphical method.

• Substitution method.

• Elimination method.

• Trial and error.

What are the solutions for the practice problem involving a circle and a line?

• Negative 1, 2 and 2, 5

• Two-fifths, eleven-fifths and negative one, negative two

• 0, 0 and 1, 1

• 1, 3 and 6, 13

Why might some people prefer substitution for all simultaneous equations?

• It is more visual.

• It is faster.

• It is more reliable.

• It requires fewer steps.

What is emphasized as important when using substitution to solve equations?

• Memorizing formulas.

• Accuracy in algebra.

• Speed of solving.

• Using a calculator.