Substitution Method in Simultaneous Equations

Elimination is not always applicable.

Substitution is faster.

Elimination requires more equations.

Substitution is more accurate.

It contains only x and y without exponents.

It includes squared terms.

It involves trigonometric functions.

It has variables raised to the power of three.

Factorize the equation.

Rearrange to make y the subject.

Solve for x.

Graph the equation.

Cubic equation

Quadratic equation

Exponential equation

Linear equation

Graph the solutions.

Substitute back to find y values.

Check for extraneous solutions.

Solve for z values.

0, 0 and 1, 1

Negative 1, 2 and 2, 5

2, 4 and 3, 5

1, 3 and 6, 13

Trial and error

Elimination method

Substitution method

Graphical method

1, 3 and 6, 13

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

0, 0 and 1, 1

Negative 1, 2 and 2, 5

It requires fewer steps.

It is faster.

It always works.

It is more intuitive.

Always use a calculator.

Double check your answers.

Avoid using graphs.

Use elimination first.