lean_workbook_plus_16947

⚠️ Retired — specification defect

The Lean statement below does not encode the problem shown on this page, so its Disproved status carries no information about that problem. Do not import this node or use it as a dependency.

Multiply 8 to first equation to get: \n $-16x+40y=104$ \nAdd the equation above to the second equation to get: \n $43y=129$ \n$y=3$ \nPlug in x to any equation to get: \n $x=1$ \n$(x,y)=(1,3)$

Why this node was retired

The posted statement is

theorem lean_workbook_plus_16947  (x y : ℝ)
  (h₀ : -16 * x + 40 * y = 104)
  (h₁ : 8 * x + 5 * y = 29)
  (h₂ : 0 < x ∧ 0 < y) :
  x = 1 ∧ y = 3   :=  by sorry

Replace the invented second equation by16x+3y=25, or use the eliminated equation43y=129 as in the source.

The recorded counterexample refutes the statement as encoded. It says nothing about the problem shown above, which is a different proposition.

Proposed corrected statement

Replace the invented second equation by16x+3y=25, or use the eliminated equation43y=129 as in the source.

Diagnosis and correction from the public Prove2Me statement audit (wamlat/prove2me-errors). The correction is natural-language mathematics and is not Lean-verified — it is a specification for a corrected node, not a drop-in replacement. No corrected replacement node exists yet.