[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523443-105":59,"doc-detail-523443-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","solving-systems-of-equations-by-substitution-solve-each-system-by-substitution","Solving Systems of Equations by Substitution - Solve each system by substitution","","Worksheet tasks require solving linear systems using the substitution method. Sixteen numbered problems present pairs of equations in x and y, including cases with negative coefficients and constant terms. After substituting and simplifying, each system yields a solution pair, often shown as ordered coordinates, reinforcing steps for isolating variables and replacing expressions. The document emphasizes practice with consistent algebraic setup and verification through computed solutions.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/solving-systems-of-equations-by-substitution-solve-each-system-by-substitution/523443/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/solving-systems-of-equations-by-substitution-solve-each-system-by-substitution/523443.png","ImageObject",300,407,{"name":92,"@type":93},"awa","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What method is used to solve the systems in these problems?","Question",{"text":113,"@type":114},"The worksheet instructs solving each system by substitution.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How are the problems presented in the worksheet?",{"text":118,"@type":114},"Each problem lists a pair of linear equations involving x and y and asks for the solution.",{"name":120,"@type":111,"acceptedAnswer":121},"What kind of answers are expected after using substitution?",{"text":122,"@type":114},"The expected answers are solution pairs, typically expressed as ordered coordinate points (x, y).","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},523443,1791479058,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},3985747858093,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Kuta Software-Infinite Pre-Algebra Name   \nSolving Systems of Equations by Substitution Date  Period   \nSolve each system by substitution.  \n1) y = 7x − 10 2) y = −8  \ny = −3 y = −2x − 12  \n3) y = 6x 4) y = 9x − 9 y = 5x + 7 y = 9  \n5) y = −4 6) y = 8x − 9 y = x − 8 y = 7  \n7) y = 6x − 14 8) y = 2x − 15 y = −8x y = 5x  \n9) y = −8x 10) 6x + 7y = 20  \n2x + 4y = 0 y = 2x  \n11) −3x − 5 y = 6 12) 6x − 5 y = 22 y = −3 y = −8  \n13) y = 2x 14) y = 8x  \n3x + 3y = −18 −5x − 5 y = 0  \n15) y = −3 16) y = 3x  \n−5x − 3 y = 14 −3x − y = −24  \nKuta Software-Infinite Pre-Algebra Name   \nSolving Systems of Equations by Substitution Date  Period   \nSolve each system by substitution.  \n1) y = 7x − 10 2) y = −8  \ny = −3 y = −2x − 12  \n( 1, −3) (−2, −8)  \n3) y = 6x 4) y = 9x − 9  \ny = 5x + 7 y = 9  \n(7, 42) (2, 9)  \n5) y = −4 6) y = 8x − 9  \ny = x − 8 y = 7  \n(4, −4) (2, 7)  \n7) y = 6x − 14 8) y = 2x − 15  \ny = −8x y = 5x  \n( 1, −8) (−5, −25)  \n9) y = −8x 10) 6x + 7y = 20  \n2x + 4y = 0 y = 2x  \n(0, 0) ( 1, 2)  \n11) −3x − 5 y = 6 12) 6x − 5 y = 22  \ny = −3 y = −8  \n(3, −3) (−3, −8)  \n13) y = 2x 14) y = 8x  \n3x + 3y = −18 −5x − 5 y = 0  \n(−2, −4) (0, 0)  \n15) y = −3 16) y = 3x  \n−5x − 3 y = 14 −3x − y = −24  \n(−1, −3) (4, 12)  \nCreate your own worksheets like this one with Infinite Pre-Algebra. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaicuxeDvRtvPs","https://ap.wps.com/l/cbCaicuxeDvRtvPs","pdf",29555,"English","# Solve each system by substitution","[{\"question\":\"What method is used to solve the systems in these problems?\",\"answer\":\"The worksheet instructs solving each system by substitution.\"},{\"question\":\"How are the problems presented in the worksheet?\",\"answer\":\"Each problem lists a pair of linear equations involving x and y and asks for the solution.\"},{\"question\":\"What kind of answers are expected after using substitution?\",\"answer\":\"The expected answers are solution pairs, typically expressed as ordered coordinate points (x, y).\"}]","Solving Systems of Equations by Substitution - Solve each system by substitution | PDF",1791426867]