Two straight roads on a city map are represented by the equations 5x-2y=1 and x+3y=7
MATHEMATICS · Multi-part · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables
Problem
Two straight roads on a city map are represented by the equations
5x−2y=1andx+3y=7,
where x and y are measured in kilometres from the origin of the coordinate system.
(i) Find the coordinates of the point where the two roads meet.
(ii) Calculate, correct to two decimal places, the distance of this intersection point from the origin.