Linear Equations with One, None, or Infinite Solutions

When you reach a true statement (e.g. 5 = 5) → infinite solutions. A false one (e.g. 3 = 7) → no solution. A variable remains → one solution.

Grade 8Common Core 8.EE.C.7bEEVerified correct ✓

Worked examples

Solve for x: -2x = 3x - 10
Answer: {2}

Solve for x: -x + 8 = 6x - 3
Answer: {11/7}

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