Chapter 5

Simultaneous Equations

Solving simultaneous equations by elimination and substitution — with an interactive exercise.

Simultaneous Equations are solved together to find values that satisfy both.

By elimination: for $x+y=7$ and $x-y=3$, adding gives $2x=10$, so $x=5$ and then $y=2$. One linear and one quadratic equation are solved by substitution.

Remember

  • Add or subtract to eliminate one unknown.
  • Substitute back to find the other.

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