{"id":1600,"date":"2021-12-02T19:38:42","date_gmt":"2021-12-03T00:38:42","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-2-8\/"},"modified":"2022-11-02T10:36:52","modified_gmt":"2022-11-02T14:36:52","slug":"answer-key-2-8","status":"publish","type":"back-matter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-2-8\/","title":{"raw":"Answer Key 2.8","rendered":"Answer Key 2.8"},"content":{"raw":"[latex]\\begin{array}{ll}\n\\begin{array}{cccc}\n\\text{1st}&amp;&amp;&amp; \\\\\n&amp;&amp;5&amp; \\\\ \\\\\n&amp;&amp;31&amp; \\\\ \\\\\n&amp;3&amp;&amp;6\n\\end{array}\n&amp; \\hspace{0.5in} \\Longrightarrow \\hspace{0.5in}\n\\begin{array}{rrl}\n3\\cdot 5 + 6&amp;&amp; \\\\\n15+6&amp;=&amp;21\n\\end{array}\n\\end{array}[\/latex]\n\n<hr>\n\n[latex]\\begin{array}{ll}\n\\begin{array}{cccc}\n\\text{2nd}&amp;&amp;&amp; \\\\\n&amp;&amp;3&amp; \\\\ \\\\\n&amp;&amp;42&amp; \\\\ \\\\\n&amp;11&amp;&amp;9\n\\end{array}\n&amp; \\hspace{0.5in} \\Longrightarrow \\hspace{0.5in}\n\\begin{array}{rrl}\n3\\cdot 11 + 9&amp;&amp; \\\\\n33+9&amp;=&amp;42\n\\end{array}\n\\end{array}[\/latex]\n\n<hr>\n\n[latex]\\begin{array}{ll}\n\\begin{array}{cccc}\n\\text{3rd}&amp;&amp;&amp; \\\\\n&amp;&amp;12&amp; \\\\ \\\\\n&amp;&amp;64&amp; \\\\ \\\\\n&amp;5&amp;&amp;X\n\\end{array}\n&amp; \\hspace{0.5in} \\Longrightarrow \\hspace{0.5in}\n\\begin{array}{rrrrl}\n5\\cdot 12&amp;+&amp;x&amp;=&amp;\\phantom{-}64 \\\\\n60&amp;+&amp;x&amp;=&amp;\\phantom{-}64 \\\\\n-60&amp;&amp;&amp;&amp;-60 \\\\\n\\hline\n&amp;&amp;x&amp;=&amp;4\n\\end{array}\n\\end{array}[\/latex]","rendered":"<p>[latex]\\begin{array}{ll} \\begin{array}{cccc} \\text{1st}&&& \\\\ &&5& \\\\ \\\\ &&31& \\\\ \\\\ &3&&6 \\end{array} & \\hspace{0.5in} \\Longrightarrow \\hspace{0.5in} \\begin{array}{rrl} 3\\cdot 5 + 6&& \\\\ 15+6&=&21 \\end{array} \\end{array}[\/latex]<\/p>\n<hr \/>\n<p>[latex]\\begin{array}{ll} \\begin{array}{cccc} \\text{2nd}&&& \\\\ &&3& \\\\ \\\\ &&42& \\\\ \\\\ &11&&9 \\end{array} & \\hspace{0.5in} \\Longrightarrow \\hspace{0.5in} \\begin{array}{rrl} 3\\cdot 11 + 9&& \\\\ 33+9&=&42 \\end{array} \\end{array}[\/latex]<\/p>\n<hr \/>\n<p>[latex]\\begin{array}{ll} \\begin{array}{cccc} \\text{3rd}&&& \\\\ &&12& \\\\ \\\\ &&64& \\\\ \\\\ &5&&X \\end{array} & \\hspace{0.5in} \\Longrightarrow \\hspace{0.5in} \\begin{array}{rrrrl} 5\\cdot 12&+&x&=&\\phantom{-}64 \\\\ 60&+&x&=&\\phantom{-}64 \\\\ -60&&&&-60 \\\\ \\hline &&x&=&4 \\end{array} \\end{array}[\/latex]<\/p>\n","protected":false},"author":90,"menu_order":22,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"back-matter-type":[],"contributor":[],"license":[56],"class_list":["post-1600","back-matter","type-back-matter","status-publish","hentry","license-cc-by-nc-sa"],"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1600","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":1,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1600\/revisions"}],"predecessor-version":[{"id":1601,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1600\/revisions\/1601"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1600\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1600"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter-type?post=1600"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1600"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1600"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}