Solve the following equations graphically : 3x - 2y = 4, 5x - 2y = 0.

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KnowledgeBoat · Accepted Answer

Given, Equation : ⇒ 3x - 2y = 4 ⇒ 2y = 3x - 4 ⇒ y = x - 2 .........(1) When, x = -2, y = = -3 - 2 = -5, x = 0, y = = 0 - 2 = -2, x = 2, y = = 3 - 2 = 1. Tables of values for equation (1) x | -2 | 0 | 2 ---- | ---- | ---- | ---- y | -5 | -2 | 1 Steps of construction : 1. Plot the points (-2, -5), (0, -2) and (2, 1) on graph paper. 2. Connect points by straight line. Given, Equation : ⇒ 5x - 2y = 0 ⇒ 2y = 5x ⇒ y = ..............(2) When, x = -2, y = = -5, x = 0, y = = 0, x = 2, y = = 5. Tables of values for equation (2) x | -2 | 0 | 2 ---- | ---- | ---- | ---- y | -5 | 0 | 5 Steps of construction : 1. Plot the points (-2, -5), (0, 0) and (2, 5) on graph paper. 2. Connect points by straight line. The graphs of both the straight lines are shown in the figure. The lines intersect at point A(-2, -5). Hence, the solution of the given equations is x = -2, y = -5.

Mathematics

Solve the following equations graphically :
3x - 2y = 4, 5x - 2y = 0.

Coordinate Geometry

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Mathematics

Solve the following equations graphically :3x - 2y = 4, 5x - 2y = 0.