{"id":"informator-maturalny-matematyka-2010/zad/52","paper_id":"informator-maturalny-matematyka-2010","number":"52","points":2,"ptype":"open","subject":"matematyka","category":"informator-maturalny","year":2010,"month":null,"level":null,"text":"Zadanie 52. (2 pkt)\nRozwiąż układ równań\n3\n5\n2\n3\nx\ny\nx\ny\n⎧\n⎨\n⎩","answer":null,"answer_text":null,"solution":"Układ: x+3y=5, 2x-y=3. Z drugiego równania: y=2x-3. Podstawiamy: x+3(2x-3)=5 → x+6x-9=5 → 7x=14 → x=2, y=2*2-3=1.\nOdpowiedź: x=2, y=1.","image":"img/informator-maturalny-matematyka-2010/zad-52.webp","solution_image":null,"topics":null,"page_from":84,"source":"ai","answer_source":null,"answer_text_source":null,"solution_source":"ai","text_source":"ocr","source_label":"Matematyka · Informator maturalny · 2010","subject_label":"Matematyka","category_label":"Informator maturalny","text_html":"<p>Zadanie 52. (2 pkt)<br>Rozwiąż układ równań<br>3<br>5<br>2<br>3<br>x<br>y<br>x<br>y<br>⎧<br>⎨<br>⎩</p>","solutions":[{"source":"ai","label":"AI","kind":"text","html":"<p>Układ: x+3y=5, 2x-y=3. Z drugiego równania: y=2x-3. Podstawiamy: x+3(2x-3)=5 → x+6x-9=5 → 7x=14 → x=2, y=2*2-3=1.<br>Odpowiedź: x=2, y=1.</p>"}]}