Prove2Me

Solving two symmetric linear equations

Proved
WorkbookSource.problem_50549

by wamlart · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-workbooksource-checked

Solve the systems of equations graphically.

y=3x−1y=3x-1 x=3y−1x=3y-1

Source: InternLM Lean-Workbook, record lean_workbook_50549 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.problem_50549 (x y : ℝ) (h₁ : y = 3 * x - 1) (h₂ : x = 3 * y - 1) : x = 1 / 2 ∧ y = 1 / 2  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_50549; Apache-2.0

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