Solving a three-variable linear system

Proved

WorkbookSource.problem_5962

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

lean-workbooksource-checked

Solve for A, B, and C in the system of equations: $-4A-10B=0$ $10A-4B=\frac{1}{2}$ $8C=\frac{1}{2}$

Source: InternLM Lean-Workbook, record lean_workbook_5962 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_5962 (A B C : ℝ) : -4*A-10*B=0 ∧ 10*A-4*B=1/2 ∧ 8*C=1/2 ↔ A=5/116 ∧ B=-1/58 ∧ C=1/16  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_5962; Apache-2.0

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