Solving Simultaneous Equations By Substitution

This 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 video covers the characteristics of linear and non-linear equations, providing examples of solving them through substitution. It includes a detailed walkthrough of solving a quadratic equation by substitution, followed by verification of solutions. The tutorial concludes with practice problems and tips, emphasizing the reliability of substitution over elimination.

Why are simultaneous equations referred to as 'simultaneous'?

• They must be solved at the same time.

• They are always quadratic.

• They have no unknowns.

• They involve only one equation.

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

• Eliminating one of the variables.

• Graphing the equations.

• Factorizing the quadratic equation.

• Rearranging the linear equation to express one variable in terms of the other.

In the example provided, what are the solutions for the x values?

• x = 2 and x = 5

• x = -1 and x = 2

• x = 1 and x = 4

• x = 0 and x = 3

What should you do after finding the solutions to ensure they are correct?

• Graph the solutions.

• Ignore the solutions.

• Substitute the solutions back into the original equations.

• Use a calculator to verify.

Why might some people prefer substitution over elimination for solving simultaneous equations?

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

• Substitution is only for linear equations.

• Elimination is more complex.

• Substitution is faster.