{"id":1180,"date":"2025-12-18T14:57:41","date_gmt":"2025-12-18T13:57:41","guid":{"rendered":"http:\/\/mymatma.pl\/?p=1180"},"modified":"2025-12-18T14:57:45","modified_gmt":"2025-12-18T13:57:45","slug":"zadanie-94","status":"publish","type":"post","link":"https:\/\/mymatma.pl\/?p=1180","title":{"rendered":"Zadanie 94"},"content":{"rendered":"\n<p><strong>zadanie 27 \u2013 maj 2011 ( zadanie otwarte) (2pkt)<\/strong><\/p>\n\n\n\n<p>Liczby x , y , 19 tworz\u0105 w podanej kolejno\u015bci ci\u0105g arytmetyczny, przy czym x+y=8 . Oblicz x i y.<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n    <div class=\"premium-wrapper-odp\" id=\"odp_69e22b6c72dd2\">\n        <button class=\"premium-btn-odp\"\n                data-id=\"odp_69e22b6c72dd2\"\n                style=\"margin-top:10px; padding:12px 20px; background:#28a745; color:#fff; border-radius:25px; border:none; cursor:pointer; font-weight:bold;\">\n            Poka\u017c odpowied\u017a\n        <\/button>\n\n        <div class=\"premium-content-odp\" style=\"display:none; padding:15px; border:1px solid #28a745; margin-top:10px; background:#e6ffe6; border-radius:25px;\">\n            \nPrawid\u0142owa odpowied\u017a to x = -1, y = 9.\n        <\/div>\n    <\/div>\n    \n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n    <div class=\"premium-wrapper-wyjasnienie\" id=\"wyjasnienie_69e22b6c72dde\">\n        <button class=\"premium-btn-wyjasnienie\"\n                data-id=\"wyjasnienie_69e22b6c72dde\"\n                style=\"margin-top:10px; padding:12px 20px; background:#28a745; color:#fff; border-radius:25px; border:none; cursor:pointer; font-weight:bold;\">\n            Poka\u017c wyja\u015bnienie\n        <\/button>\n\n        <div class=\"premium-content-wyjasnienie\" style=\"display:none; padding:15px; border:1px solid #28a745; margin-top:10px; background:#e6ffe6; border-radius:25px;\">\n            \n<p>Liczby <em>x<\/em>, <em>y<\/em>, 19 tworz\u0105 ci\u0105g arytmetyczny, wi\u0119c spe\u0142niaj\u0105 warunek:<\/p>\n<p>y \u2212 x = 19 \u2212 y<\/p>\n\n<p>Otrzymujemy r\u00f3wnanie:<\/p>\n<p>2y = x + 19<\/p>\n\n<p>W zadaniu podano tak\u017ce, \u017ce:<\/p>\n<p>x + y = 8<\/p>\n\n<p>Podstawiamy z pierwszego r\u00f3wnania wyra\u017cenie na x:<\/p>\n<p>x = 2y \u2212 19<\/p>\n\n<p>Wstawiamy do r\u00f3wnania:<\/p>\n<p>(2y \u2212 19) + y = 8<\/p>\n\n<p>3y \u2212 19 = 8<\/p>\n<p>3y = 27<\/p>\n<p>y = 9<\/p>\n\n<p>Teraz obliczamy x:<\/p>\n<p>x + 9 = 8 \u2192 x = -1<\/p>\n\n<p>Ostatecznie:<\/p>\n<p><strong>x = -1, y = 9<\/strong><\/p>\n\n        <\/div>\n    <\/div>\n    \n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>zadanie 27 \u2013 maj 2011 ( zadanie otwarte) (2pkt) Liczby x , y , 19 tworz\u0105 w podanej kolejno\u015bci ci\u0105g arytmetyczny, przy czym x+y=8 . Oblicz x i y.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"saved_in_kubio":false,"_uag_custom_page_level_css":"","_themeisle_gutenberg_block_has_review":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[25,46,26,81,83],"tags":[23,45,24],"class_list":["post-1180","post","type-post","status-publish","format-standard","hentry","category-ciag-arytmetyczny","category-maj-2011","category-obliczanie-wyrazow-ciagu","category-zadania-maturalne","category-zadania-tematami","tag-ciag-arytmetyczny","tag-maj-2011","tag-obliczanie-wyrazow-ciagu"],"jetpack_featured_media_url":"","uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false,"kubio-fullhd":false,"woocommerce_thumbnail":false,"woocommerce_single":false,"woocommerce_gallery_thumbnail":false},"uagb_author_info":{"display_name":"adminmymatma","author_link":"https:\/\/mymatma.pl\/?author=1"},"uagb_comment_info":0,"uagb_excerpt":"zadanie 27 \u2013 maj 2011 ( zadanie otwarte) (2pkt) Liczby x , y , 19 tworz\u0105 w podanej kolejno\u015bci ci\u0105g arytmetyczny, przy czym x+y=8 . Oblicz x i y.","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/1180","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1180"}],"version-history":[{"count":1,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/1180\/revisions"}],"predecessor-version":[{"id":1181,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/1180\/revisions\/1181"}],"wp:attachment":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1180"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1180"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1180"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}