{"id":7848,"date":"2021-11-09T14:25:20","date_gmt":"2021-11-09T08:55:20","guid":{"rendered":"https:\/\/mathemerize.com\/?p=7848"},"modified":"2021-11-09T14:44:48","modified_gmt":"2021-11-09T09:14:48","slug":"find-the-coordinates-of-the-point-of-intersecton-of-the-lines-2x-y-3-0-and-x-y-5-0","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/find-the-coordinates-of-the-point-of-intersecton-of-the-lines-2x-y-3-0-and-x-y-5-0\/","title":{"rendered":"Find the coordinates of the point of intersecton of the lines 2x – y + 3 = 0 and x + y – 5 = 0."},"content":{"rendered":"

Solution :<\/h2>\n

Solving simultaneously the equations 2x – y + 3 = 0 and x + y – 5 = 0, we obtain<\/p>\n

\\(x\\over {5 – 3}\\) = \\(y\\over {3 + 10}\\) = \\(1\\over {2 + 1}\\)<\/p>\n

\\(\\implies\\) \\(x\\over 2\\) = \\(y\\over 13\\) = \\(1\\over 3\\)<\/p>\n

\\(\\implies\\) x = \\(2\\over 3\\) , y = \\(13\\over 3\\)<\/p>\n

Hence, (2\/3, 13\/3) is the required point of intersection.<\/p>\n


\n

Similar Questions<\/h3>\n

Find the equation of line joining the point (3, 5) to the point of intersection of the lines 4x + y \u2013 1 = 0 and 7x \u2013 3y \u2013 35 = 0.<\/a><\/p>\n

Find the equation of line parallel to y-axis and drawn through the point of intersection of the lines x \u2013 7y + 5 = 0 and 3x + y = 0.<\/a><\/p>\n

Find the equation of lines which passes through the point (3,4) and the sum of intercepts on the axes is 14.<\/a><\/p>\n

The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : Solving simultaneously the equations 2x – y + 3 = 0 and x + y – 5 = 0, we obtain \\(x\\over {5 – 3}\\) = \\(y\\over {3 + 10}\\) = \\(1\\over {2 + 1}\\) \\(\\implies\\) \\(x\\over 2\\) = \\(y\\over 13\\) = \\(1\\over 3\\) \\(\\implies\\) x = \\(2\\over 3\\) , y = \\(13\\over …<\/p>\n

Find the coordinates of the point of intersecton of the lines 2x – y + 3 = 0 and x + y – 5 = 0.<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,48],"tags":[],"yoast_head":"\nFind the coordinates of the point of intersecton of the lines 2x - y + 3 = 0 and x + y - 5 = 0.<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/find-the-coordinates-of-the-point-of-intersecton-of-the-lines-2x-y-3-0-and-x-y-5-0\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Find the coordinates of the point of intersecton of the lines 2x - y + 3 = 0 and x + y - 5 = 0.\" \/>\n<meta property=\"og:description\" content=\"Solution : Solving simultaneously the equations 2x – y + 3 = 0 and x + y – 5 = 0, we obtain (xover {5 – 3}) = (yover {3 + 10}) = (1over {2 + 1}) (implies) (xover 2) = (yover 13) = (1over 3) (implies) x = (2over 3) , y = (13over … Find the coordinates of the point of intersecton of the lines 2x – y + 3 = 0 and x + y – 5 = 0. 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