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Presents multiple practice problems (numbered 1–24) where each system is given as two equations in x and y, often with different coefficients. Includes result coordinate pairs for several systems and explicitly indicates when a system has an infinite number of solutions. Suitable for students practicing algebraic elimination, set up, and interpretation of solution 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method does the worksheet use to solve systems of equations?","Question",{"text":112,"@type":113},"It uses the elimination method to solve pairs of linear equations for x and y.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the practice problems presented?",{"text":117,"@type":113},"Each item provides a system of two equations in x and y, labeled from 1) to 24).",{"name":119,"@type":110,"acceptedAnswer":120},"What does “Infinite number of solutions” mean on this worksheet?",{"text":121,"@type":113},"It indicates the given equations are consistent and dependent, so there are infinitely many (x, y) pairs that satisfy both equations.","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},522553,1791564403,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"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":52,"preview_page_count":4},687197207639,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Kuta Software-Infinite Algebra 1 Name___________________________________  \nSolving Systems of Equations by Elimination Date________________ Period____  \nSolve each system by elimination.  \n1) −4x − 2 y = −12 2) 4x + 8y = 20  \n4x + 8y = −24 −4x + 2y = −30  \n3) x − y = 11 4) −6x + 5y = 1  \n2x + y = 19 6x + 4y = −10  \n5) −2x − 9 y = −25 6) 8x + y = −16  \n−4x − 9 y = −23 −3x + y = −5  \n7) −6x + 6y = 6 8) 7x + 2y = 24  \n−6x + 3y = −12 8x + 2y = 30  \n9) 5x + y = 9 10) −4x + 9y = 9  \n10x − 7 y = −18 x − 3 y = −6  \n11) −3x + 7y = −16  \n−9x + 5y = 16  \n12) −7x + y = −19  \n−2x + 3y = −19  \n13) 16x − 10 y = 10 14) 8x + 14 y = 4  \n−8x − 6 y = 6 −6x − 7 y = −10  \n15) −4x − 15 y = −17 16) − x − 7 y = 14  \n− x + 5y = −13 −4x − 14 y = 28  \n17) −7x − 8 y = 9 18) 5x + 4y = −30  \n−4x + 9y = −22 3x − 9 y = −18  \n19) −4x − 2 y = 14 20) 3x − 2 y = 2  \n−10x + 7y = −25 5x − 5 y = 10  \n21) 5x + 4y = −14 22) 2x + 8y = 6  \n3x + 6y = 6 −5x − 20 y = −15  \n23) −14 = −20y − 7x 24) 3 + 2x − y = 0  \n10 y + 4 = 2x −3 − 7 y = 10x  \nKuta Software-Infinite Algebra 1 Name___________________________________  \nSolving Systems of Equations by Elimination Date________________ Period____  \nSolve each system by elimination.  \n1) −4x − 2 y = −12 2) 4x + 8y = 20  \n4x + 8y = −24 −4x + 2y = −30  \n(6, −6) (7, −1)  \n3) x − y = 11 4) −6x + 5y = 1  \n2x + y = 19 6x + 4y = −10  \n( 10, −1) (−1, −1)  \n5) −2x − 9 y = −25 6) 8x + y = −16  \n−4x − 9 y = −23 −3x + y = −5  \n(−1, 3) (−1, −8)  \n7) −6x + 6y = 6 8) 7x + 2y = 24  \n−6x + 3y = −12 8x + 2y = 30  \n(5, 6) (6, −9)  \n9) 5x + y = 9 10) −4x + 9y = 9  \n10x − 7 y = −18 x − 3 y = −6  \n( 1, 4) (9, 5)  \n11) −3x + 7y = −16  \n−9x + 5y = 16  \n(−4, −4)  \n12) −7x + y = −19  \n−2x + 3y = −19  \n(2, −5)  \n13) 16x − 10 y = 10 14) 8x + 14 y = 4  \n−8x − 6 y = 6 −6x − 7 y = −10  \n(0, −1) (4, −2)  \n15) −4x − 15 y = −17 16) − x − 7 y = 14  \n− x + 5y = −13 −4x − 14 y = 28  \n(8, −1) (0, −2)  \n17) −7x − 8 y = 9 18) 5x + 4y = −30  \n−4x + 9y = −22 3x − 9 y = −18  \n( 1, −2) (−6, 0)  \n19) −4x − 2 y = 14 20) 3x − 2 y = 2  \n−10x + 7y = −25 5x − 5 y = 10  \n(−1, −5) (−2, −4)  \n21) 5x + 4y = −14 22) 2x + 8y = 6  \n3x + 6y = 6 −5x − 20 y = −15  \n(−6, 4) Infinite number of solutions  \n23) −14 = −20y − 7x 24) 3 + 2x − y = 0  \n10 y + 4 = 2x −3 − 7 y = 10x  \n(2, 0) (−1, 1)  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiuflqskHr7Ux","https://ap.wps.com/l/cbCaiuflqskHr7Ux","pdf",31430,"English","# Solving Systems of Equations by Elimination\n## Practice Systems 1–24\n## Solution Types (including infinite solutions)","[{\"question\":\"What method does the worksheet use to solve systems of equations?\",\"answer\":\"It uses the elimination method to solve pairs of linear equations for x and y.\"},{\"question\":\"How are the practice problems presented?\",\"answer\":\"Each item provides a system of two equations in x and y, labeled from 1) to 24).\"},{\"question\":\"What does “Infinite number of solutions” mean on this worksheet?\",\"answer\":\"It indicates the given equations are consistent and dependent, so there are infinitely many (x, y) pairs that satisfy both equations.\"}]","Solving Systems of Equations by Elimination | PDF",1791425908]