Simultaneous Equations By Substitution

The video tutorial explains how to solve simultaneous equations using the substitution method. It begins with an introduction to simultaneous equations and the need for substitution when elimination is not feasible. The tutorial covers linear and quadratic equations, providing examples and step-by-step instructions for solving them. Practice problems are included to reinforce learning, and the video concludes with tips and a summary of the substitution method's advantages.

What is the main reason simultaneous equations are called 'simultaneous'?

• They involve only one equation.

• They must be solved at the same time.

• They have no unknowns.

• They can only be solved by elimination.

Why might substitution be preferred over elimination when solving simultaneous equations?

• Substitution is only for linear equations.

• Elimination always fails.

• Substitution works when elimination doesn't.

• Substitution is faster.

In the substitution method, what is the first step when given a linear equation?

• Graph the equation.

• Factorize the equation.

• Solve for Y in terms of X.

• Eliminate one variable.

What should you do after finding the solutions to a simultaneous equation?

• Use elimination to double-check.

• Verify the solutions by substituting back.

• Only check one solution.

• Ignore the solutions.

Why is substitution considered more reliable than elimination?

• It is only used for quadratic equations.

• It requires less algebra.

• It always works, even when elimination doesn't.

• It is easier to understand.