{"id":1338,"date":"2021-12-02T19:37:33","date_gmt":"2021-12-03T00:37:33","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/5-6-solving-for-four-variables\/"},"modified":"2023-08-30T14:50:02","modified_gmt":"2023-08-30T18:50:02","slug":"solving-for-four-variables","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/solving-for-four-variables\/","title":{"raw":"5.6 Solving for Four Variables","rendered":"5.6 Solving for Four Variables"},"content":{"raw":"Three-dimensional space and time problems. Have fun solving these!\u00a0 :)\r\n<h1>Questions<\/h1>\r\n<ol>\r\n \t<li>[latex]\\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.[\/latex]<\/li>\r\n \t<li>[latex]\\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}\\right.[\/latex]<\/li>\r\n<\/ol>\r\n<a class=\"internal\" href=\"https:\/\/opentextbc.ca\/intermediatealgebraberg\/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>[latex]\\left\\{  \\begin{array}{rrrrrrrrr}  t&+&x&+&y&+&z&=&6 \\\\  t&+&2x&+&2y&+&4z&=&17 \\\\  -t&+&x&-&y&-&z&=&-2 \\\\  -t&+&3x&+&y&-&z&=&2  \\end{array}  \\right.[\/latex]<\/li>\n<li>[latex]\\left\\{  \\begin{array}{rrrrrrrrr}  t&+&x&-&y&+&z&=&-1 \\\\  -t&+&2x&+&2y&+&z&=&3 \\\\  -t&+&3x&+&y&-&z&=&1 \\\\  -2t&+&x&+&y&-&3z&=&0  \\end{array}\\right.[\/latex]<\/li>\n<\/ol>\n<p><a class=\"internal\" href=\"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-5-6\/\">Answer Key 5.6<\/a><\/p>\n","protected":false},"author":90,"menu_order":6,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"chapter-type":[],"contributor":[],"license":[56],"class_list":["post-1338","chapter","type-chapter","status-publish","hentry","license-cc-by-nc-sa"],"part":1321,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1338","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":2,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1338\/revisions"}],"predecessor-version":[{"id":2106,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1338\/revisions\/2106"}],"part":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1321"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1338\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1338"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapter-type?post=1338"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1338"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1338"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}