{"id":1536,"date":"2019-06-28T18:49:22","date_gmt":"2019-06-28T22:49:22","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1536"},"modified":"2019-11-04T13:27:34","modified_gmt":"2019-11-04T18:27:34","slug":"answer-key-5-7","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-5-7\/","title":{"raw":"Answer Key 5.7","rendered":"Answer Key 5.7"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \\(\\begin{array}{rr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n\\begin{array}{rrrrr}\r\n&&3H&=&30 \\\\\r\n&&H&=&10 \\\\ \\\\\r\nH&+&4S&=&18 \\\\\r\n10&+&4S&=&18 \\\\\r\n-10&&&&-10 \\\\\r\n\\midrule\r\n&&\\dfrac{4S}{4}&=&\\dfrac{8}{4} \\\\ \\\\\r\n&&S&=&2\r\n\\end{array}\r\n& \\hspace{0.25in}\r\n\\begin{array}{rrrcrrr}\r\n\\\\ \\\\\r\n&&2S&-&2B&=&2 \\\\\r\n&&2(2)&-&2B&=&2 \\\\\r\n&&4&-&2B&=&2 \\\\\r\n&&-4&&&&-4 \\\\\r\n\\midrule\r\n&&&&\\dfrac{-2B}{-2}&=&\\dfrac{-2}{-2} \\\\ \\\\\r\n&&&&B&=&1 \\\\ \\\\\r\nB&+&H&\\times &S&=&? \\\\\r\n1&+&(10&\\times &2)&=&? \\\\\r\n&&1&+&20&=&21\r\n\\end{array}\r\n\\end{array}\\)<\/li>\r\n \t
  2. \\(\\begin{array}{rr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n\\begin{array}{rrrrr}\r\n&&3B&=&30 \\\\\r\n&&B&=&10 \\\\ \\\\\r\nB&+&2H&=&20 \\\\\r\n10&+&2H&=&20 \\\\\r\n-10&&&&-10 \\\\\r\n\\midrule\r\n&&\\dfrac{2H}{2}&=&\\dfrac{10}{2} \\\\ \\\\\r\n&&H&=&5\r\n\\end{array}\r\n& \\hspace{0.25in}\r\n\\begin{array}{rrrrrrr}\r\n&&H&+&4M&=&9 \\\\\r\n&&5&+&4M&=&9 \\\\\r\n&&-5&&&&-5 \\\\\r\n\\midrule\r\n&&&&4M&=&4 \\\\\r\n&&&&M&=&1 \\\\ \\\\\r\nH&+&M&\\times &B&=&? \\\\\r\n10&+&(5&\\times &1)&=&? \\\\\r\n&&10&+&5&=&15\r\n\\end{array}\r\n\\end{array}\\)<\/li>\r\n \t
  3. \\(\\phantom{1}\\)\r\n\\(\\begin{array}{rrrrrrrrrl}\r\n\\text{Row 2}&-a&-&2b&-&2c&+&2d&=&-8 \\\\\r\n\\text{Row 3}&2a&-&b&-&c&-&d&=&\\phantom{-}5 \\\\\r\n\\text{Column 1}&a&-&b&+&c&+&2d&=&-1 \\\\\r\n\\text{Column 3}&a&-&2b&-&c&-&d&=&\\phantom{-}3 \\\\ \\\\\r\n&(-a&-&2b&-&2c&+&2d&=&-8)(2) \\\\\r\n&-2a&-&4b&-&4c&+&4d&=&-16 \\\\\r\n+&2a&-&b&-&c&-&d&=&\\phantom{-0}5 \\\\\r\n\\midrule\r\n&&&-5b&-&5c&+&3d&=&-11 \\\\ \\\\\r\n&-a&-&2b&-&2c&+&2d&=&-8 \\\\\r\n+&a&-&b&+&c&+&2d&=&-1 \\\\\r\n\\midrule\r\n&&&-3b&-&c&+&4d&=&-9 \\\\ \\\\\r\n&-a&-&2b&-&2c&+&2d&=&-8 \\\\\r\n+&a&-&2b&-&c&-&d&=&\\phantom{-}3 \\\\\r\n\\midrule\r\n&&&(-4b&-&3c&+&d&=&-5)(-4) \\\\\r\n&&&16b&+&12c&-&4d&=&20 \\\\\r\n&&+&-3b&-&c&+&4d&=&-9 \\\\\r\n\\midrule\r\n&&&&&13b&+&11c&=&11 \\\\ \\\\\r\n&&&(-4b&-&3c&+&d&=&-5)(-3) \\\\\r\n&&&12b&+&9c&-&3d&=&\\phantom{-}15 \\\\\r\n&&+&-5b&-&5c&+&3d&=&-11 \\\\\r\n\\midrule\r\n&&&&&7b&+&4c&=&4\r\n\\end{array}\\)\r\n\\(\\phantom{1} \\\\ \\\\ \\\\ \\\\ \\)\r\n\\(\\begin{array}{rrrrrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n&&&&(13b&+&11c&=&11)(-4) \\\\\r\n&&&&(\\phantom{0}7b&+&4c&=&\\phantom{0}4)(11) \\\\ \\\\\r\n&&&&-52b&-&44c&=&-44 \\\\\r\n&&&+&77b&+&44c&=&\\phantom{-}44 \\\\\r\n\\midrule\r\n&&&&&&25b&=&0 \\\\\r\n&&&&&&b&=&0 \\\\ \\\\\r\n&&&&7b&+&4c&=&4 \\\\\r\n&&&&7(0)&+&4c&=&4 \\\\\r\n&&&&&&\\dfrac{4c}{4}&=&\\dfrac{4}{4} \\\\ \\\\\r\n&&&&&&c&=&1 \\\\ \\\\\r\n&&-4b&-&3c&+&d&=&-5 \\\\\r\n&&-4(0)&-&3(1)&+&d&=&-5 \\\\\r\n&&&&-3&+&d&=&-5 \\\\\r\n&&&&+3&&&&+3 \\\\\r\n\\midrule\r\n&&&&&&d&=&-2 \\\\ \\\\\r\na&-&2b&-&c&-&d&=&\\phantom{-}3 \\\\\r\na&-&2(0)&-&1&-&(-2)&=&\\phantom{-}3 \\\\\r\n&&a&-&1&+&2&=&\\phantom{-}3 \\\\\r\n&&&&a&+&1&=&\\phantom{-}3 \\\\\r\n&&&&&-&1&&-1 \\\\\r\n\\midrule\r\n&&&&&&a&=&2\r\n\\end{array}\\)<\/li>\r\n<\/ol>","rendered":"
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      \n\"\begin{array}{rrrrrrrrl}<\/li>\n<\/ol>\n","protected":false},"author":727,"menu_order":43,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-1536","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1536","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/users\/727"}],"version-history":[{"count":5,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1536\/revisions"}],"predecessor-version":[{"id":2974,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1536\/revisions\/2974"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1536\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=1536"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=1536"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=1536"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=1536"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}