simultaneous equations

Practise simultaneous equations with an original VectorPaths question, worked explanation and related VCE Methods practice.

2 practice marks

Original practice question

Solve the system of equations $y = -1x^2 + 2x + -1$ and $y = -2x + -1$.

Worked explanation

  • Eliminate one variable

    \[\text{Solutions: } (0, -1), \quad (4, -9)\]

  • Write ordered pairs

    \[(0, -1), \quad (4, -9)\]

\[(0, -1), \quad (4, -9)\]

Original VectorPaths practice; not an official VCAA question or marking rubric.