[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522782-105":59,"doc-detail-522782-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","solving-systems-of-two-equations-cramers-rule-practice-worksheet","Solving Systems of Two Equations - Cramer's Rule - Practice Worksheet","","Practice worksheet on solving systems of two linear equations using Cramer’s Rule. The problems present pairs of equations with two variables (x and y) as well as additional variable sets (a and b, r and s). Each system requires computing the solution and identifying whether it has a unique solution, infinitely many solutions, or no solution, with result points shown for many items.",{"@graph":69,"@context":122},[70,84,105],{"@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-two-equations-cramers-rule-practice-worksheet/522782/",{"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-two-equations-cramers-rule-practice-worksheet/522782.png","ImageObject",300,407,{"name":92,"@type":93},"Maya Linwood","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What method does this worksheet use to solve each system of equations?","Question",{"text":112,"@type":113},"It uses Cramer’s Rule to solve each system of two equations.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What kinds of outcomes can a system have on this worksheet?",{"text":117,"@type":113},"Systems can have a unique solution, infinitely many solutions, or no solution.",{"name":119,"@type":110,"acceptedAnswer":120},"Are the worksheet problems limited to x and y variables?",{"text":121,"@type":113},"No. Some systems use other variables such as a and b, and r and s.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},522782,1791506432,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24,"preview_page_count":4},962084928432,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Kuta Software-Infinite Algebra 2 Name___________________________________  \nSolving Systems of Two Equations w/ Cramer's Rule Date________________ Period____  \nUse Cramer's Rule to solve each system.  \n1) x − 5 y = −5 2) −x + 5 y = 2  \n−4x − 2 y = 20 x − 2 y = −2  \n3) 2x + 2 y = 0 4) 3x − 4 y = 1  \n4x − y = −20 −5x + 2 y = 3  \n5) −x − y = −1 6) −5x + 5 y = 10  \n3x + 3 y = 3 −2x + 2 y = −4  \n7) −x + 4 y = −2 8) −5x − 5 y = 25  \n−2x + 5 y = −4 −2x − 4 y = 16  \n9) 4x + 4 y = −32 10) 7a − b = −1  \n2x + 2 y = −16 −4a − 2b = −2  \n11) 4r + s = −14 12) x − 3 y = 5  \n−5r − 5s = 25 −3x + 6 y = 8  \n13) 6a + b = −2 14) 2a − 3b = −8  \n5a + 6b = −2 4a + 3b = −34  \nKuta Software-Infinite Algebra 2 Name___________________________________  \nSolving Systems of Two Equations w/ Cramer's Rule Date________________ Period____  \nUse Cramer's Rule to solve each system.  \n1) x − 5 y = −5 2) −x + 5 y = 2  \n−4x − 2 y = 20 x − 2 y = −2  \n(−5, 0) (−2, 0)  \n3) 2x + 2 y = 0 4) 3x − 4 y = 1  \n4x − y = −20 −5x + 2 y = 3  \n(−4, 4) (−1, −1)  \n5) −x − y = −1 6) −5x + 5 y = 10  \n3x + 3 y = 3 −2x + 2 y = −4  \nInfinitely many solutions No solution.  \n7) −x + 4 y = −2 8) −5x − 5 y = 25  \n−2x + 5 y = −4 −2x − 4 y = 16  \n(2, 0) (−2, −3)  \n9) 4x + 4 y = −32 10) 7a − b = −1  \n2x + 2 y = −16 −4a − 2b = −2  \nInfinitely many solutions (0, 1)  \n11) 4r + s = −14 12) x − 3 y = 5  \n−5r − 5s = 25 −3x + 6 y = 8  \n(−3, −2) (−18, − ~~ ~~233)  \n13) 6a + b = −2 14) 2a − 3b = −8  \n5a + 6b = −2 4a + 3b = −34  \n(− ~~ ~~1031~~ ~~ , − ~~ ~~231) (−7, −2)  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaikUnibHL5cUP","https://ap.wps.com/l/cbCaikUnibHL5cUP","pdf",24897,"English","# Solving Systems of Two Equations w/ Cramer's Rule\n## Solve each system\n## Determine solution type (unique, infinitely many, or none)","[{\"question\":\"What method does this worksheet use to solve each system of equations?\",\"answer\":\"It uses Cramer’s Rule to solve each system of two equations.\"},{\"question\":\"What kinds of outcomes can a system have on this worksheet?\",\"answer\":\"Systems can have a unique solution, infinitely many solutions, or no solution.\"},{\"question\":\"Are the worksheet problems limited to x and y variables?\",\"answer\":\"No. Some systems use other variables such as a and b, and r and s.\"}]","Solving Systems of Two Equations - Cramer's Rule - Practice Worksheet | PDF",1791426166]