Exam · Algebra

Simultaneous equations

Find the x and y that satisfy both equations

10 questions

Using the game mechanic. No time limit.

Explanation after each answer

You’ll see why it’s correct, with the calculation.

Final score

How many you got right out of 10.

Choose your level

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What this exam is like

Exam on systems of two equations with two unknowns. 10 different systems every time, no timer, with the step-by-step elimination method and its check.

  • Basic: Small coefficients and an easy x to isolate
  • Secondary: Coefficients up to 5, positive and negative
  • Advanced: Coefficients up to 9

Sample questions

  1. 1. Solve the system: x + y = 1 2x − 3y = −13

    Show the answer

    ✅ x = −2 · y = 3

  2. 2. Solve the system: −5x + 3y = −3 3x − 4y = 15

    Show the answer

    ✅ x = −3 · y = −6

  3. 3. Solve the system: −6x + 6y = 12 2x + 2y = −16

    Show the answer

    ✅ x = −5 · y = −3

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