{"id":530,"date":"2019-04-29T14:25:47","date_gmt":"2019-04-29T18:25:47","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&#038;p=530"},"modified":"2019-12-03T16:42:09","modified_gmt":"2019-12-03T21:42:09","slug":"5-6-solving-for-four-variables","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/5-6-solving-for-four-variables\/","title":{"raw":"5.6 Solving for Four Variables","rendered":"5.6 Solving for Four Variables"},"content":{"raw":"[latexpage]\r\n\r\nThree-dimensional space and time problems. Have fun solving these!\u00a0 :)\r\n<h1>Questions<\/h1>\r\n<ol>\r\n \t<li>\\(\\left\\{\r\n\\begin{array}{rrrrrrrrr}\r\nt&amp;+&amp;x&amp;+&amp;y&amp;+&amp;z&amp;=&amp;6 \\\\\r\nt&amp;+&amp;2x&amp;+&amp;2y&amp;+&amp;4z&amp;=&amp;17 \\\\\r\n-t&amp;+&amp;x&amp;-&amp;y&amp;-&amp;z&amp;=&amp;-2 \\\\\r\n-t&amp;+&amp;3x&amp;+&amp;y&amp;-&amp;z&amp;=&amp;2\r\n\\end{array}\r\n\\right.\\)<\/li>\r\n \t<li>\\(\\left\\{\r\n\\begin{array}{rrrrrrrrr}\r\nt&amp;+&amp;x&amp;-&amp;y&amp;+&amp;z&amp;=&amp;-1 \\\\\r\n-t&amp;+&amp;2x&amp;+&amp;2y&amp;+&amp;z&amp;=&amp;3 \\\\\r\n-t&amp;+&amp;3x&amp;+&amp;y&amp;-&amp;z&amp;=&amp;1 \\\\\r\n-2t&amp;+&amp;x&amp;+&amp;y&amp;-&amp;3z&amp;=&amp;0\r\n\\end{array}\\)<\/li>\r\n<\/ol>\r\n<a href=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-5-6\/\">Answer Key 5.6<\/a>","rendered":"<p>Three-dimensional space and time problems. Have fun solving these!\u00a0 \ud83d\ude42<\/p>\n<h1>Questions<\/h1>\n<ol>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-c7b154a60358ff5798d7e91d446f93ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#92;&#123; &#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#114;&#114;&#114;&#114;&#114;&#114;&#114;&#114;&#114;&#125; &#116;&#38;&#43;&#38;&#120;&#38;&#43;&#38;&#121;&#38;&#43;&#38;&#122;&#38;&#61;&#38;&#54;&#32;&#92;&#92; &#116;&#38;&#43;&#38;&#50;&#120;&#38;&#43;&#38;&#50;&#121;&#38;&#43;&#38;&#52;&#122;&#38;&#61;&#38;&#49;&#55;&#32;&#92;&#92; &#45;&#116;&#38;&#43;&#38;&#120;&#38;&#45;&#38;&#121;&#38;&#45;&#38;&#122;&#38;&#61;&#38;&#45;&#50;&#32;&#92;&#92; &#45;&#116;&#38;&#43;&#38;&#51;&#120;&#38;&#43;&#38;&#121;&#38;&#45;&#38;&#122;&#38;&#61;&#38;&#50; &#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125; &#92;&#114;&#105;&#103;&#104;&#116;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"304\" style=\"vertical-align: -38px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-6f450880ad63105c28ad9a53c6a74b78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#92;&#123; &#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#114;&#114;&#114;&#114;&#114;&#114;&#114;&#114;&#114;&#125; &#116;&#38;&#43;&#38;&#120;&#38;&#45;&#38;&#121;&#38;&#43;&#38;&#122;&#38;&#61;&#38;&#45;&#49;&#32;&#92;&#92; &#45;&#116;&#38;&#43;&#38;&#50;&#120;&#38;&#43;&#38;&#50;&#121;&#38;&#43;&#38;&#122;&#38;&#61;&#38;&#51;&#32;&#92;&#92; &#45;&#116;&#38;&#43;&#38;&#51;&#120;&#38;&#43;&#38;&#121;&#38;&#45;&#38;&#122;&#38;&#61;&#38;&#49;&#32;&#92;&#92; &#45;&#50;&#116;&#38;&#43;&#38;&#120;&#38;&#43;&#38;&#121;&#38;&#45;&#38;&#51;&#122;&#38;&#61;&#38;&#48; &#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"312\" style=\"vertical-align: -38px;\" \/><\/li>\n<\/ol>\n<p><a href=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-5-6\/\">Answer Key 5.6<\/a><\/p>\n","protected":false},"author":540,"menu_order":18,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-530","chapter","type-chapter","status-publish","hentry"],"part":371,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/530","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/users\/540"}],"version-history":[{"count":7,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/530\/revisions"}],"predecessor-version":[{"id":3608,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/530\/revisions\/3608"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/parts\/371"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/530\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=530"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapter-type?post=530"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=530"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=530"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}