{"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":"
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
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