Substituting numbers into an expressionSubstituting negative values

When you know the value for letters in an algebraic expression you can substitute these values into the expression and solve it.

Part ofMathsExpressions and equations

Substituting negative values

Sometimes substitution will include negative numbers. When you substitute in a negative value you need to be careful with how this affects the expression:

  • Adding a negative number is the same as taking away a positive number:
    • eg \(10+(-3)\) is the same as \(10-3\)
  • Subtracting a negative number is the same as adding a positive number:
    • eg \(10-(-3)\) is the same as \(10+3\)

Example

If \(x~=~-3\) and \(y~=~6\)

Find \(2x~-~y\)

How to solve the expression:

\(2x~-~y\)

Substitute \(x\) with the value \(-3\) and \(y\) with \(6\)

\({2}\times(-3)~-~6\)

\(=~-~6~-~6\)

\(=~-~12\)