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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
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  3. Grade 8/
  4. Unit 5/
  5. Solving Systems Algebraically
Grade 8 · Unit 5Topic 2 of 2~24 min

Solving Systems Algebraically

Use substitution or elimination for exact answers.

All topics in this unit
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Walkthrough

Read this first — it covers the idea in plain language with a worked example.

Substitution

  1. 1Solve one equation for a variable.
  2. 2Substitute that expression into the other equation.
  3. 3Solve, then back-substitute to find the other variable.
Worked example

Solve y = x + 1 and 2x + y = 7.

  1. →Substitute y = x + 1: 2x + (x + 1) = 7.
  2. →Combine: 3x + 1 = 7 → 3x = 6 → x = 2.
  3. →Then y = 2 + 1 = 3. Solution: (2, 3).

Elimination

If you line up the equations, you can add or subtract them to cancel a variable — handy when nothing is solved for y yet.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

Watch the main video, then check the second take if you want another explanation.

Khan Academy

Solving Systems by Substitution

Substitute one equation into the other to solve.

Watch on YouTube
Khan Academy

Systems of Equations (Elimination)

Add or subtract equations to eliminate a variable.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice

Try a worksheet or work through some problems before the quiz.

Khan Academy

Systems with substitution & elimination

Open resource
πΣ√≠≤+αβΔπΣx²θ÷+
Step 4 · Check

Quick check

A couple of questions to make sure this topic stuck. Retake as many times as you want.

Solving Systems Algebraically

Question 1 of 2

Medium

Solve the system y = 2x and x + y = 9.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Topic 1 of 2Systems by Graphing→Finished the unit?Back to Unit 5