{"id":115922,"date":"2023-09-03T23:32:16","date_gmt":"2023-09-03T23:32:16","guid":{"rendered":"https:\/\/www.omahbse.com\/blog\/?p=115922"},"modified":"2023-09-03T23:32:16","modified_gmt":"2023-09-03T23:32:16","slug":"jika-suatu-sistem-persamaan-linear-memiliki-persamaan-x-y-10-dan-2x-y-4-berapakah-nilai-x-dan-y","status":"publish","type":"post","link":"https:\/\/www.omahbse.com\/blog\/jika-suatu-sistem-persamaan-linear-memiliki-persamaan-x-y-10-dan-2x-y-4-berapakah-nilai-x-dan-y\/","title":{"rendered":"Jika suatu sistem persamaan linear memiliki persamaan x + y = 10 dan 2x &#8211; y = 4, berapakah nilai x dan y?"},"content":{"rendered":"<p>Jika suatu sistem persamaan linear memiliki persamaan <span class=\"highlight\">x + y = 10<\/span> dan <span class=\"highlight\">2x &#8211; y = 4<\/span>, kita dapat menentukan nilai <em>x<\/em> dan <em>y<\/em> menggunakan metode eliminasi atau substitusi. Dengan melakukan operasi pada kedua persamaan tersebut, diperoleh solusi <em>x = 3<\/em> dan <em>y = 7<\/em>.<\/p>\n<h2>Penjelasan dan Jawaban<\/h2>\n<p>Sistem persamaan linear dapat diselesaikan dengan menggunakan metode eliminasi atau substitusi. Dalam kasus ini, kita akan menggunakan metode substitusi untuk menemukan nilai x dan y.<\/p>\n<p>Dalam persamaan pertama, y dapat dieliminasi dengan mengalikan persamaan tersebut dengan -1, sehingga persamaan tersebut menjadi:<\/p>\n<p>-x &#8211; y = -10<\/p>\n<p>Kemudian, persamaan kedua dapat dipisahkan menjadi:<\/p>\n<p>2x &#8211; y = 4<\/p>\n<p>Kita dapat menggabungkan persamaan-persamaan ini untuk menemukan nilai x:<\/p>\n<p>-x &#8211; y = -10<\/p>\n<p>2x &#8211; y = 4<\/p>\n<p>Langkah selanjutnya adalah mengeliminasi y dengan menambahkan persamaan pertama dengan persamaan kedua:<\/p>\n<p>-x &#8211; y + 2x &#8211; y = -10 + 4<\/p>\n<p>x &#8211; 2y = -6<\/p>\n<p>Kemudian, kita bisa menyelesaikan persamaan baru ini:<\/p>\n<p>x &#8211; 2y = -6<\/p>\n<p>Langkah terakhir adalah menggantikan nilai x ke salah satu persamaan awal untuk mencari nilai y. Kita akan menggunakan persamaan pertama:<\/p>\n<p>x + y = 10<\/p>\n<p>-6 + y = 10<\/p>\n<p>y = 16<\/p>\n<p>Selanjutnya, kita bisa menggunakan nilai y = 16 untuk mencari nilai x dengan menggunakan persamaan kedua:<\/p>\n<p>2x &#8211; y = 4<\/p>\n<p>2x &#8211; 16 = 4<\/p>\n<p>2x = 20<\/p>\n<p>x = 10<\/p>\n<p>Jadi, nilai x = 10 dan y = 16.<\/p>\n<h2>Kesimpulan<\/h2>\n<p>Dalam sistem persamaan linear x + y = 10 dan 2x &#8211; y = 4, nilai x adalah 10 dan nilai y adalah 16. Hal ini didapatkan dengan menggunakan metode substitusi untuk menyelesaikan sistem persamaan tersebut.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Jika suatu sistem persamaan linear memiliki persamaan x + y = 10 dan 2x &#8211; y = 4, kita dapat menentukan nilai x dan y menggunakan metode eliminasi atau substitusi. Dengan melakukan operasi pada kedua persamaan tersebut, diperoleh solusi x = 3 dan y = 7. Penjelasan dan Jawaban Sistem persamaan linear dapat diselesaikan dengan [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":115921,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[302,1992,1976,1988],"tags":[],"class_list":{"0":"post-115922","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-matematika","8":"category-matematika-smp","9":"category-sekolah","10":"category-smp"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Jika suatu sistem persamaan linear memiliki persamaan x + y = 10 dan 2x - y = 4, berapakah nilai x dan y? - OmahBSE<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.omahbse.com\/blog\/jika-suatu-sistem-persamaan-linear-memiliki-persamaan-x-y-10-dan-2x-y-4-berapakah-nilai-x-dan-y\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jika suatu sistem persamaan linear memiliki persamaan x + y = 10 dan 2x - y = 4, berapakah nilai x dan y? - OmahBSE\" \/>\n<meta property=\"og:description\" content=\"Jika suatu sistem persamaan linear memiliki persamaan x + y = 10 dan 2x &#8211; y = 4, kita dapat menentukan nilai x dan y menggunakan metode eliminasi atau substitusi. 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