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Algebra & equations

Solve a system of two linear equations by elimination, check it, see the substitution method with “Try different approach”, then test yourself with “Quiz me”.

7 min read Students · Parents · Educators Video in 1 language
2:38 · narrated · captions

Set up an algebra session

  1. Open the Setup Wizard

    In the tutor lobby, choose Setup Wizard at the top (or Customize). The wizard builds a focused session in four quick steps.

  2. Pick your level — Advanced

    Build on Basics revisits foundations, Advanced (recommended) works at grade level, and Expert moves faster with harder problems. Then press Continue.

  3. Choose how you learn — Step-by-step

    Direct gets to the point, Step-by-step explains every move, In-depth adds the why behind each idea, and Guide me teaches through questions.

  4. Choose Math, then the focus area — Algebra

    Select Math. A Focus area in Math row appears (General Math, Arithmetic, Algebra, Geometry, Trigonometry, Pre-Calculus, Calculus, Statistics, Probability and more). Picking one keeps every explanation, example and practice question on that topic.

  5. Pick a buddy and start

    Choose a learning buddy — Sage is calm and methodical, a favourite for math — then press Start Session.

Solve a system of equations

2x + y = 7 and x − y = 2Grades 8–9
  1. Add equations(2x + y) + (x − y) = 7 + 2 → 3x = 9The y terms cancel (elimination).
  2. Solve for xx = 3Divide both sides by 3.
  3. Back-substitute3 − y = 2 → y = 1Put x = 3 into the second equation.
Answer: x = 3, y = 1
Check: 2(3) + 1 = 7 ✓ 3 − 1 = 2 ✓

  1. Enter both equations

    Type both equations in one message.

    Try it“Solve the system: 2x + y = 7 and x - y = 2”

  2. Add the equations

    The +y and −y cancel when you add the equations. Do it yourself and send your result.

    Try it“Adding them gives 3x = 9, so x = 3. Then y = 1?”

  3. See another method

    Tap Try different approach — the tutor solves the same system by substitution, so you can choose the method you prefer.

  4. Quiz yourself

    Tap Quiz me for a quick question. Answer it and the tutor marks it with an explanation.

Keep learning

Math topics

Geometry

Use the Pythagorean theorem to find a hypotenuse, see the tutor catch a classic area mistake, and get a labelled diagram.

Ways to learn

Quick actions: simpler, different method, example, quiz

Every answer comes with one-tap buttons. Learn what each does — Give me an example, Try different approach, Explain simpler, Quiz me, practice, Summarize, Copy, Read aloud and Try again.

By grade

High school math (9–12)

The Study Studio, Socratic mode, graphs and instant summaries — solving a quadratic equation the way a great teacher would: by asking the right questions.

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