{"id":1849,"date":"2021-12-02T19:39:42","date_gmt":"2021-12-03T00:39:42","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-5-1\/"},"modified":"2022-11-02T10:37:52","modified_gmt":"2022-11-02T14:37:52","slug":"answer-key-5-1","status":"publish","type":"back-matter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-5-1\/","title":{"raw":"Answer Key 5.1","rendered":"Answer Key 5.1"},"content":{"raw":"
    \n \t
  1. [latex](-1,2)[\/latex]\n\"lines<\/li>\n \t
  2. [latex](-4,3)[\/latex]\n\"lines<\/li>\n \t
  3. [latex](-1,-3)[\/latex]\n\"lines<\/li>\n \t
  4. [latex](-3,1)[\/latex]\n\"lines<\/li>\n \t
  5. Parallel lines [latex]\\therefore[\/latex] no intersection\n\"graph<\/li>\n \t
  6. [latex](-2,-2)[\/latex]\n\"lines<\/li>\n \t
  7. [latex](-3,1)[\/latex]\n\"-3,<\/li>\n \t
  8. [latex](1,-2)[\/latex]\n\"lines<\/li>\n \t
  9. [latex](-3,-1)[\/latex]\n\"lines<\/li>\n \t
  10. Parallel lines [latex]\\therefore[\/latex] no intersection\n\"graph<\/li>\n \t
  11. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrrrrr}\nx&+&3y&=&-9\\hspace{0.25in}&5x&+&3y&=&3 \\\\\n-x&&&&-x\\hspace{0.25in}&-5x&&&&-5x \\\\\n\\hline\n\\dfrac{3y}{3}&=&\\dfrac{-x}{3}&-&\\dfrac{9}{3}\\hspace{0.25in}&\\dfrac{3y}{3}&=&\\dfrac{-5x}{3}&+&\\dfrac{3}{3} \\\\ \\\\\ny&=&-\\dfrac{1}{3}x&-&3\\hspace{0.25in}&y&=&-\\dfrac{5}{3}x&+&1 \\\\ \\\\\n(3,-4)&&&&&&&&&\n\\end{array}[\/latex]\n\"3,-4\"<\/li>\n \t
  12. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrrrrr}\nx&+&4y&=&-12\\hspace{0.25in}&2x&+&y&=&4 \\\\\n-x&&&&-x\\hspace{0.25in}&-2x&&&&-2x \\\\\n\\hline\n\\dfrac{4y}{4}&=&\\dfrac{-x}{4}&-&\\dfrac{12}{4} \\hspace{0.25in}&y&=&-2x&+&4 \\\\ \\\\\ny&=&-\\dfrac{1}{4}x&+&3 \\hspace{0.25in}&y&=&-2x&+&4 \\\\ \\\\\n(4,-4)&&&&&&&&&\n\\end{array}[\/latex]\n\"lines<\/li>\n<\/ol>","rendered":"
      \n
    1. [latex](-1,2)[\/latex]
      \n\"lines<\/li>\n
    2. [latex](-4,3)[\/latex]
      \n\"lines<\/li>\n
    3. [latex](-1,-3)[\/latex]
      \n\"lines<\/li>\n
    4. [latex](-3,1)[\/latex]
      \n\"lines<\/li>\n
    5. Parallel lines [latex]\\therefore[\/latex] no intersection
      \n\"graph<\/li>\n
    6. [latex](-2,-2)[\/latex]
      \n\"lines<\/li>\n
    7. [latex](-3,1)[\/latex]
      \n\"-3,<\/li>\n
    8. [latex](1,-2)[\/latex]
      \n\"lines<\/li>\n
    9. [latex](-3,-1)[\/latex]
      \n\"lines<\/li>\n
    10. Parallel lines [latex]\\therefore[\/latex] no intersection
      \n\"graph<\/li>\n
    11. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrrrrr} x&+&3y&=&-9\\hspace{0.25in}&5x&+&3y&=&3 \\\\ -x&&&&-x\\hspace{0.25in}&-5x&&&&-5x \\\\ \\hline \\dfrac{3y}{3}&=&\\dfrac{-x}{3}&-&\\dfrac{9}{3}\\hspace{0.25in}&\\dfrac{3y}{3}&=&\\dfrac{-5x}{3}&+&\\dfrac{3}{3} \\\\ \\\\ y&=&-\\dfrac{1}{3}x&-&3\\hspace{0.25in}&y&=&-\\dfrac{5}{3}x&+&1 \\\\ \\\\ (3,-4)&&&&&&&&& \\end{array}[\/latex]
      \n\"3,-4\"<\/li>\n
    12. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrrrrr} x&+&4y&=&-12\\hspace{0.25in}&2x&+&y&=&4 \\\\ -x&&&&-x\\hspace{0.25in}&-2x&&&&-2x \\\\ \\hline \\dfrac{4y}{4}&=&\\dfrac{-x}{4}&-&\\dfrac{12}{4} \\hspace{0.25in}&y&=&-2x&+&4 \\\\ \\\\ y&=&-\\dfrac{1}{4}x&+&3 \\hspace{0.25in}&y&=&-2x&+&4 \\\\ \\\\ (4,-4)&&&&&&&&& \\end{array}[\/latex]
      \n\"lines<\/li>\n<\/ol>\n","protected":false},"author":90,"menu_order":42,"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-1849","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\/1849","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\/1849\/revisions"}],"predecessor-version":[{"id":1850,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1849\/revisions\/1850"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1849\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1849"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter-type?post=1849"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1849"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1849"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}