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For each numbered problem, the document shows the elimination or substitution steps to solve for x and y, then states the intersection point as an ordered pair. The answer set covers ten systems, ending with coordinates for the final cases, enabling direct verification of student graphing results.",{"@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/identifying-point-of-intersection-with-equations-answer-key/467326/",{"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/identifying-point-of-intersection-with-equations-answer-key/467326.png","ImageObject",300,407,{"name":92,"@type":93},"Ezra","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the worksheet ask you to find for each system of equations?","Question",{"text":112,"@type":113},"It asks you to determine the point of intersection on a graph for each system of equations.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the solutions presented in the answer key?",{"text":117,"@type":113},"Each problem shows the steps to solve the system and then gives the intersection as an ordered pair (x, y).",{"name":119,"@type":110,"acceptedAnswer":120},"How many answer choices are provided in the answer key?",{"text":121,"@type":113},"The answer key provides results for problems 1 through 10.","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},467326,1792877108,{"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":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39},1099514068035,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Identifying Point of Intersection with Equations  \nName:  \n\n| For each system of equations determine the point of intersection in a graph.\u003Cbr>1) {yy  -10.51xx- 8 2) {yy  --10..3x1x 66\u003Cbr>3) {yy  --00..6x4x  78 4) {yy  03..755xx- +6 5\u003Cbr>5) {yy  --00..1x3x  20 6) {yy  --20..5x75x-8-1\u003Cbr>7) {yy  --11..3x5x  46 8) {yy  -00.2x4x- 1\u003Cbr>9) {yy  00..4x9x  50 10) {yy  31.. 5x5x  40 |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-10 | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 9)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9)[ 9](Math www.CommonCoreSheets.com 9)  \nIdentifying Point of Intersection with Equations  \nName: Answer Key  \n\n| For each system of equations determine the point of intersection in a graph. |  |  |  |  |  | Answers 1.  (10 , 7) \u003Cbr>2.  (-10 , 7)  3.  (-5 , 10)  4.  (4 , 8)  5.  (-10 , 3)  6.  (-4 , 2)  7.  (10 , -9)  8.  (5 , -1)  9.  (10 , 9)  10.  (-2 , -3)  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) {yy  -10.51xx- 8\u003Cbr>1. 5x-8 = -0 . 1x+8\u003Cbr>1. 6x = 16 1x = 10\u003Cbr>y = (1 . 5×10)-8\u003Cbr>y = (-0.1×10)+8\u003Cbr>3) {yy  --00..6x4x  78\u003Cbr>-0. 6x+7 = -0 .4x+8\u003Cbr>-0.2x = 1\u003Cbr>1x = -5\u003Cbr>y = (-0.6×-5)+7\u003Cbr>y = (-0.4×-5)+8\u003Cbr>5) {yy  --00..1x3x  20\u003Cbr>-0. 1x+2 = -0 .3x+0 0.2x = -2\u003Cbr>1x = -10\u003Cbr>y = (-0.1×-10)+2\u003Cbr>y = (-0.3×-10)+0\u003Cbr>7) {yy  --11..3x5x  46\u003Cbr>-1.3x+4 = -1 . 5x+6 0.2x = 2\u003Cbr>1x = 10\u003Cbr>y = (-1.3×10)+4\u003Cbr>y = (-1.5×10)+6\u003Cbr>9) {yy  00..4x9x  50\u003Cbr>0.4x+5 = 0.9x+0\u003Cbr>-0. 5x = -5\u003Cbr>1x = 10\u003Cbr>y = (0.4×10)+5\u003Cbr>y = (0.9×10)+0 | 2) {yy  --10..3x1x 66\u003Cbr>-1.3x-6 = -0 . 1x+6\u003Cbr>-1.2x = 12 1x = -10\u003Cbr>y = (-1 .3×-10)-6\u003Cbr>y = (-0.1×-10)+6\u003Cbr>4) {yy  03..755xx- +6 5\u003Cbr>0.75x+5 = 3. 5x-6\u003Cbr>-2.75x = -11\u003Cbr>1x = 4\u003Cbr>y = (0.75×4)+5\u003Cbr>y = (3 . 5×4)-6\u003Cbr>6) {yy  --20..5x75x-8-1\u003Cbr>-2. 5x-8 = -0 .75x-1\u003Cbr>-1.75x = 7 1x = -4\u003Cbr>y = (-2 . 5×-4)-8\u003Cbr>y = (-0 .75×-4)-1\u003Cbr>8) {yy  -00.2x4x- 1\u003Cbr>0.2x-2 = -0 .4x+1\u003Cbr>0. 6x = 3 1x = 5\u003Cbr>y = (0 .2×5)-2\u003Cbr>y = (-0.4×5)+1\u003Cbr>10) {yy  31.. 5x5x  40\u003Cbr>3. 5x+4 = 1. 5x+0 2x = -4\u003Cbr>1x = -2\u003Cbr>y = (3.5×-2)+4\u003Cbr>y = (1.5×-2)+0 |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 9)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9)[ 9](Math www.CommonCoreSheets.com 9)  \nIdentifying Point of Intersection with Equations  \nName:  \n\n| For each system of equations determine the point of intersection in a graph.\u003Cbr>1) {yy  -10.51xx- 8 2) {yy  --10..3x1x 66\u003Cbr>3) {yy  --00..6x4x  78 4) {yy  03..755xx- +6 5\u003Cbr>5) {yy  --00..1x3x  20 6) {yy  --20..5x75x-8-1 | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6. |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n| 1-6 | 83 | 67 |  | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n9","cbCaihyODaxKhD2G","https://ap.wps.com/l/cbCaihyODaxKhD2G","pdf",42998,"English","# For each system of equations determine the point of intersection in a graph\n## Answers","[{\"question\":\"What does the worksheet ask you to find for each system of equations?\",\"answer\":\"It asks you to determine the point of intersection on a graph for each system of equations.\"},{\"question\":\"How are the solutions presented in the answer key?\",\"answer\":\"Each problem shows the steps to solve the system and then gives the intersection as an ordered pair (x, y).\"},{\"question\":\"How many answer choices are provided in the answer key?\",\"answer\":\"The answer key provides results for problems 1 through 10.\"}]","Identifying Point of Intersection with Equations - Answer Key | PDF",1790772709]