{"id":43376,"date":"2025-06-29T19:06:42","date_gmt":"2025-06-29T19:06:42","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=43376"},"modified":"2025-06-29T19:06:43","modified_gmt":"2025-06-29T19:06:43","slug":"which-equation-is-formed-from-the-two-equations","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/which-equation-is-formed-from-the-two-equations\/","title":{"rendered":"Which equation is formed from the two equations"},"content":{"rendered":"\n

Which equation is formed from the two equations? 3x-7=11 and 4y+3=1<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Let’s start by analyzing the two given equations:<\/p>\n\n\n\n

    \n
  1. 3x – 7 = 11<\/strong><\/li>\n\n\n\n
  2. 4y + 3 = 1<\/strong><\/li>\n<\/ol>\n\n\n\n

    Step 1: Solve for x<\/strong> in the first equation.<\/h3>\n\n\n\n

    The first equation is 3x – 7 = 11<\/strong>. To solve for x<\/strong>, follow these steps:<\/p>\n\n\n\n

      \n
    1. Add 7 to both sides of the equation to isolate the term with x<\/strong>: 3x\u22127+7=11+7\u21d23x=183x – 7 + 7 = 11 + 7 \\quad \\Rightarrow \\quad 3x = 183x\u22127+7=11+7\u21d23x=18<\/li>\n\n\n\n
    2. Now, divide both sides of the equation by 3 to solve for x<\/strong>: 3×3=183\u21d2x=6\\frac{3x}{3} = \\frac{18}{3} \\quad \\Rightarrow \\quad x = 633x\u200b=318\u200b\u21d2x=6<\/li>\n<\/ol>\n\n\n\n

      Step 2: Solve for y<\/strong> in the second equation.<\/h3>\n\n\n\n

      The second equation is 4y + 3 = 1<\/strong>. To solve for y<\/strong>, follow these steps:<\/p>\n\n\n\n

        \n
      1. Subtract 3 from both sides of the equation to isolate the term with y<\/strong>: 4y+3\u22123=1\u22123\u21d24y=\u221224y + 3 – 3 = 1 – 3 \\quad \\Rightarrow \\quad 4y = -24y+3\u22123=1\u22123\u21d24y=\u22122<\/li>\n\n\n\n
      2. Now, divide both sides by 4 to solve for y<\/strong>: 4y4=\u221224\u21d2y=\u221212\\frac{4y}{4} = \\frac{-2}{4} \\quad \\Rightarrow \\quad y = -\\frac{1}{2}44y\u200b=4\u22122\u200b\u21d2y=\u221221\u200b<\/li>\n<\/ol>\n\n\n\n

        Step 3: Combine the results.<\/h3>\n\n\n\n

        From the first equation, we found that x = 6<\/strong>. From the second equation, we found that y = -1\/2<\/strong>.<\/p>\n\n\n\n

        Thus, the values of x<\/strong> and y<\/strong> that satisfy both equations are x = 6<\/strong> and y = -1\/2<\/strong>. If we wanted to express these results as a combined equation, we can state:(x,y)=(6,\u221212)(x, y) = (6, -\\frac{1}{2})(x,y)=(6,\u221221\u200b)<\/p>\n\n\n\n

        This pair represents the solution to the system of equations. In this case, there is no direct way to combine the two original equations into a single equation because they are not related in a way that would allow such simplification. The system represents two independent relationships that give the values of x<\/strong> and y<\/strong> when solved.<\/p>\n\n\n\n

        \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

        Which equation is formed from the two equations? 3x-7=11 and 4y+3=1 The Correct Answer and Explanation is: Let’s start by analyzing the two given equations: Step 1: Solve for x in the first equation. The first equation is 3x – 7 = 11. To solve for x, follow these steps: Step 2: Solve for y […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-43376","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43376","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=43376"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43376\/revisions"}],"predecessor-version":[{"id":43378,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43376\/revisions\/43378"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=43376"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=43376"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=43376"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}