diff --git a/EasyLean/Basic.lean b/EasyLean/Basic.lean
index 305e1ca..5c0c53b 100644
--- a/EasyLean/Basic.lean
+++ b/EasyLean/Basic.lean
@@ -1,12 +1,5 @@
 import Mathlib.Data.Real.Basic
 import Mathlib.Tactic.Linarith
 
-theorem mathd_algebra_513
-  (a b : ℝ)
-  (h₀ : 3 * a + 2 * b = 5)
-  (h₁ : a + b = 2) :
-  a = 1 ∧ b = 1 := by
-  sorry
-
 theorem eq_four : ∀ a b c d : Nat, a = b → a = d → a = c → c = b := by
   sorry
diff --git a/EasyLean/Basic_mathd_algebra_513/mathd_algebra_513_prover.lean b/EasyLean/Basic_mathd_algebra_513/mathd_algebra_513_prover.lean
new file mode 100644
index 0000000..963b2a2
--- /dev/null
+++ b/EasyLean/Basic_mathd_algebra_513/mathd_algebra_513_prover.lean
@@ -0,0 +1,13 @@
+import Mathlib
+
+theorem mathd_algebra_513 (a b : ℝ)
+  (h₀ : 3 * a + 2 * b = 5)
+  (h₁ : a + b = 2) :
+  a = 1 ∧ b = 1 := by
+  have ha : a = 1 := by
+    linarith [h₀, h₁]
+  have hb : b = 1 := by
+    linarith [h₁, ha]
+  exact ⟨ha, hb⟩
+
+