[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-id-113":3,"doc-seo-158132-113":53,"doc-detail-158132-id":127},{"code":4,"msg":5,"data":6},0,"success",[7,13,17,21,25,29,33,37,41,45,49],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},55,"Document","Agama & Spiritualitas",60,"religion-spirituality",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":11,"slug":16},48,"Cerita & Novel","story-novel",{"id":18,"doc_module":4,"doc_module_name":9,"category_name":19,"show_sort_weight":11,"slug":20},56,"Gaya Hidup","lifestyle",{"id":22,"doc_module":4,"doc_module_name":9,"category_name":23,"show_sort_weight":11,"slug":24},51,"Komik","comic",{"id":26,"doc_module":4,"doc_module_name":9,"category_name":27,"show_sort_weight":11,"slug":28},53,"Layanan Kesehatan","healthcare",{"id":30,"doc_module":4,"doc_module_name":9,"category_name":31,"show_sort_weight":11,"slug":32},54,"Penelitian & Laporan","research-report",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":11,"slug":36},49,"Sastra","literature",{"id":38,"doc_module":4,"doc_module_name":9,"category_name":39,"show_sort_weight":11,"slug":40},52,"Teknologi","technology",{"id":42,"doc_module":4,"doc_module_name":9,"category_name":43,"show_sort_weight":11,"slug":44},50,"Ujian","exam",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":47,"show_sort_weight":11,"slug":48},57,"Umum","general",{"id":50,"doc_module":4,"doc_module_name":9,"category_name":51,"show_sort_weight":4,"slug":52},181,"Formulir","formulir",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":120,"head_meta":122,"extra_data":124,"updated_unix":126},113,"id","answer-practice-questions-spldv-solving-two-variable-linear-equations","Jawaban Latihan Soal SPLDV - Penyelesaian Sistem Persamaan Linear Dua Variabel","","Kumpulan jawaban latihan SPLDV berisi langkah penyelesaian sistem persamaan linear dua variabel menggunakan metode eliminasi dan substitusi. Setiap nomor memaparkan transformasi persamaan, penggabungan atau pengurangan untuk mengeliminasi salah satu variabel, kemudian substitusi kembali untuk memperoleh nilai variabel x dan y. Hasil akhir dinyatakan sebagai himpunan penyelesaian pasangan terurut (x, y), termasuk kasus bernilai positif dan negatif, sehingga memudahkan verifikasi jawaban.",{"@graph":63,"@context":119},[64,81,102],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,72,75,78],{"item":68,"name":69,"@type":70,"position":71},"https://docshare.wps.com","Home","ListItem",1,{"item":73,"name":9,"@type":70,"position":74},"https://docshare.wps.com/id/document/",2,{"item":76,"name":43,"@type":70,"position":77},"https://docshare.wps.com/id/document/ujian/",3,{"item":79,"name":59,"@type":70,"position":80},"https://docshare.wps.com/id/document/answer-practice-questions-spldv-solving-two-variable-linear-equations/158132/",4,{"url":79,"name":59,"@type":82,"image":83,"author":88,"headline":59,"publisher":91,"fileFormat":94,"inLanguage":57,"description":61,"dateModified":95,"datePublished":96,"encodingFormat":94,"isAccessibleForFree":97,"interactionStatistic":98},"DigitalDocument",{"url":84,"@type":85,"width":86,"height":87},"https://docshare.wps.com/thumbnails/answer-practice-questions-spldv-solving-two-variable-linear-equations/158132.png","ImageObject",300,407,{"name":89,"@type":90},"Gloria","Person",{"url":68,"name":92,"@type":93},"DocShare","Organization","application/pdf","2026-09-21","2026-08-29",true,{"@type":99,"interactionType":100,"userInteractionCount":77},"InteractionCounter",{"@type":101},"ViewAction",{"@type":103,"mainEntity":104},"FAQPage",[105,111,115],{"name":106,"@type":107,"acceptedAnswer":108},"Metode apa yang digunakan untuk menyelesaikan SPLDV pada dokumen ini?","Question",{"text":109,"@type":110},"Dokumen ini menggunakan dua metode utama: eliminasi untuk menghilangkan salah satu variabel dan substitusi untuk mengganti nilai variabel ke persamaan lainnya.","Answer",{"name":112,"@type":107,"acceptedAnswer":113},"Bagaimana himpunan penyelesaian ditulis di setiap akhir nomor?",{"text":114,"@type":110},"Himpunan penyelesaian ditulis sebagai pasangan terurut (x, y) dalam bentuk {(...)} yang menunjukkan nilai x dan y hasil akhir.",{"name":116,"@type":107,"acceptedAnswer":117},"Apa yang dilakukan setelah salah satu variabel dieliminasi?",{"text":118,"@type":110},"Setelah satu variabel dieliminasi, persamaan yang tersisa diselesaikan untuk memperoleh nilai variabel lainnya. Nilai tersebut kemudian disubstitusikan kembali untuk menemukan variabel yang pertama.","https://schema.org",{"og:url":79,"og:type":121,"og:title":59,"og:site_name":92,"og:description":61},"article",{"robots":123,"canonical":79},"index,follow",{"doc_id":125,"site_id":56},158132,1787996081,{"code":4,"msg":5,"data":128},{"doc_id":125,"user_id":129,"nickname":89,"user_avatar":130,"doc_module":4,"category_id":42,"category_name":43,"doc_title":59,"doc_description":61,"doc_content":131,"file_id":132,"file_url":133,"file_type":134,"file_size":135,"view_count":77,"is_deleted":4,"is_public":71,"is_downloadable":71,"audit_status":71,"page_count":136,"language":137,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":138,"faqs":139,"seo_title":140,"seo_description":61,"update_tm":126,"read_time":141},2336474459895,"https://ap-avatar.wpscdn.com/avatar/22000baeef7a5ed0655?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786071322749376916","JAWABAN LATIHAN SOAL SPLDV  \n1. a. {5􀝔2􀝔􀝕􀝕 410  \nPenyelesaian:  \nEliminasiy pada persamaan (1) dan (2)  \n5􀝔 − 􀝕 = 4  \n2􀝔 + 􀝕 = 10  \n7􀝔 = 14  \n􀝔 = 2  \nEliminasi x pada persamaan (1) dan (2)  \n5􀝔 − 􀝕 = 4 × 2  \n2􀝔 + 􀝕 = 10 × 5  \n10􀝔 − 2􀝕 = 8  \n10􀝔 + 5􀝕 = 50  \n−7􀝕 = −42  \n􀝕 = 6  \nJadi, Himpunan Penyelesaiannya adalah {(2, 6)}  \n1. b. {35􀝔􀝔 − 23􀝕􀝕  58  \nPenyelesaian:  \nEliminasiy pada persamaan (1) dan (2) 3􀝔 − 2􀝕 = 5 × 3  \n5􀝔 − 3􀝕 = 8 × 2  \n9􀝔 − 6􀝕 = 15  \n10􀝔 − 6􀝕 = 16   \n−􀝔 = −1  \n􀝔 = 1  \nEliminasi x pada persamaan (1) dan (2)  \n3􀝔 − 2􀝕 = 5 × 5  \n5􀝔 − 3􀝕 = 8 × 3  \n15􀝔 − 10􀝕 = 25  \n15􀝔 − 9􀝕 = 24   \n−􀝕 = 1  \n􀝕 = −1  \nJadi, Himpunan Penyelesaiannya adalah {(1, -1)}  \n2. a. {5􀝕􀝔  32􀝕0 Penyelesaian:  \n2. b. {2􀝔􀝔3􀝕2􀝕41 Penyelesaian:  \nSubstitusi persamaan (1) ke dalam persamaan (2) 5􀝔 − 2􀝕 = 0  \n5􀝔 − 2(3 + 􀝔) = 0  \n5􀝔 − 6 − 2􀝔 = 0  \n3􀝔 − 6 = 0  \n3􀝔 = 6  \n􀝔 = 2  \nSubstitusi persamaan (2) ke dalam persamaan (1)  \n5􀝔 − 2􀝕 = 0  \n5􀝔 = 2􀝕  \n􀝔 =  \n2􀝕  \n5  \n􀝕 = 3 + 􀝔  \n􀝕 = 3 + (~~ ~~2􀝕5)[􀝕 = 3 + (~~ ~~2􀝕5)] × 5  \n5􀝕 = 15 + 2􀝕 3􀝕 = 15  \n􀝕 = 5  \nSubstitusi persamaan (1) ke dalam persamaan (2)  \n2􀝔 + 3􀝕 = 4  \n2􀝔 = 4 − 3􀝕  \n􀝔 =  \n4 − 3􀝕  \n2  \n􀝔 + 2􀝕 = 1  \n4~~ ~~3􀝕 + 2􀝕 = 1  \n[4~~ ~~3􀝕 + 2􀝕 = 1] × 2  \n4 − 3􀝕 + 4􀝕 = 2  \n4 + 􀝕 = 2  \n􀝕 = −2  \nSubstitusi persamaan (2) ke dalam persamaan (1)  \n􀝔 + 2􀝕 = 1  \n2􀝕 = 1 − 􀝔  \n􀝕 =  \n1 − 􀝔  \n2  \nJadi, Himpunan Penyelesaiannya adalah {(2, 5)}  \n2􀝔 + 3􀝕 = 4  \n2􀝔 + 3 (~~ ~~1~~ ~~−2~~ ~~􀝔~~ ~~ ) = 4  \n[ 2􀝔 + 3 (~~ ~~1~~ ~~−2~~ ~~􀝔~~ ~~ ) = 4] × 2 4􀝔 + 3 − 3􀝔 = 8  \n􀝔 = 5  \nJadi, Himpunan Penyelesaiannya adalah {(5, -2)} 3. a. {2􀝔􀝔31=2􀝕4  \nPenyelesaian:  \nSubstitusi persamaan (1) ke dalam persamaan (2) 2􀝔 + 3􀝕 = 4  \n2 (1 − 2􀝕) + 3􀝕 = 4  \n2 − 4􀝕 + 3􀝕 = 4 −􀝕 = 2  \n􀝕 = −2  \nSubstitusi nilai y ke dalam persamaan (1)  \n􀝔 = 1 − 2􀝕  \n􀝔 = 1 − 2(−2)  \n􀝔 = 1 + 4  \n􀝔 = 5  \nJadi, Himpunan Penyelesaiannya adalah {(5, -2)}  \n3. b. { −22􀝔􀝔 􀝕5􀝕= 5  \nPenyelesaian:  \nEliminasi persamaan (1) dan (2)  \n2􀝔 − 􀝕 = 7  \n−2􀝔 + 5􀝕 = 5    \n4􀝕 = 12  \n􀝕 = 3  \nSubstitusi nilai 􀝕 = 3 ke dalam persamaan (1) 2􀝔 − 􀝕 = 7  \n2􀝔 − (3) = 7  \n2􀝔 = 10  \n􀝔 = 5  \nJadi, Himpunan Penyelesaiannya adalah {(5, -2)}  \n3. c. {45􀝔􀝔  32􀝕􀝕  1249 Penyelesaian:  \nEliminasi persamaan (1) dan (2)  \n4􀝔 + 3􀝕 = 14 × 2  \n5􀝔 − 2􀝕 = 29 × 3  \n8􀝔 + 6􀝕 = 28  \n 15􀝔 − 6􀝕 = 87   \n23􀝔 = 115  \n􀝔 = 5  \nSubstitusi 􀝔 = 5 ke dalam persamaan (1) 4􀝔 + 3􀝕 = 14  \n4 (5) + 3􀝕 = 14  \n20 + 3􀝕 = 14 3􀝕 = −6  \n􀝕 = −2  \nJadi, Himpunan Penyelesaiannya adalah {(5, -2)}  \nUbah persamaan (2) menjadi bentuk 􀜽􀝔 + 􀜾􀝕 = 􀜿 6􀝔 − 7􀝕 − 9 = 0  \n6􀝔 − 7􀝕 = 9  \nEliminasi persamaan (1) dan (2)  \n5􀝔 − 6􀝕 = 8 × 6  \n6􀝔 − 7􀝕 = 9 × 5  \n30􀝔 − 36􀝕 = 48  \n30􀝔 − 35􀝕 = 45 −􀝕 = 3  \n􀝕 = −3  \nSubstitusi 􀝕 = −3 ke dalam persamaan (1) 5􀝔 − 6􀝕 = 8  \n5􀝔 − 6(−3) = 8  \n5􀝔 + 18 = 8  \n5􀝔 = −10  \n􀝔 = −2  \nJadi, Himpunan Penyelesaiannya adalah {(-2, -3)}  \nd. {6􀝔5  \n− 6􀝕 = 8 7􀝕 − 9 = 0  \nPenyelesaian:  \nRangkuman Jawaban:  \n1. a. 􀝔 = 2; 􀝕 = 6 b. 􀝔 = 1; 􀝕 = −1  \n2. a. 􀝔 = 2; 􀝕 = 5 b. 􀝔 = 5; 􀝕 = −2  \n3. a. 􀝔 = 5; 􀝕 = −2 b. 􀝔 = 5; 􀝕 = 3 c. 􀝔 = 5; 􀝕 = −2  \nd. 􀝔 = −2; 􀝕 = −3","cbCaifCdzZPAPwoR","https://ap.wps.com/l/cbCaifCdzZPAPwoR","pdf",166270,5,"Indonesian","# Jawaban Latihan Soal SPLDV\n## Metode eliminasi (menghilangkan salah satu variabel)\n## Metode substitusi (substitusi nilai ke persamaan)\n## Ringkasan jawaban tiap subsoal","[{\"question\":\"Metode apa yang digunakan untuk menyelesaikan SPLDV pada dokumen ini?\",\"answer\":\"Dokumen ini menggunakan dua metode utama: eliminasi untuk menghilangkan salah satu variabel dan substitusi untuk mengganti nilai variabel ke persamaan lainnya.\"},{\"question\":\"Bagaimana himpunan penyelesaian ditulis di setiap akhir nomor?\",\"answer\":\"Himpunan penyelesaian ditulis sebagai pasangan terurut (x, y) dalam bentuk {(...)} yang menunjukkan nilai x dan y hasil akhir.\"},{\"question\":\"Apa yang dilakukan setelah salah satu variabel dieliminasi?\",\"answer\":\"Setelah satu variabel dieliminasi, persamaan yang tersisa diselesaikan untuk memperoleh nilai variabel lainnya. Nilai tersebut kemudian disubstitusikan kembali untuk menemukan variabel yang pertama.\"}]","Jawaban Latihan Soal SPLDV - Penyelesaian Sistem Persamaan Linear Dua Variabel | PDF",8]