Using the same axes of coordinates and the same unit, solve graphically.
x + y = 0, 3x - 2y = 10.

Question

Using the same axes of coordinates and the same unit, solve graphically. x + y = 0, 3x - 2y = 10.

KnowledgeBoat · Accepted Answer

Given, Equation : ⇒ x + y = 0 ⇒ y = -x .............(1) When, x = 0, y = 0, x = 1, y = -(1) = -1, x = 2, y = -(2) = -2. Table of values for equation (1) x | 0 | 1 | 2 ---- | ---- | ---- | ---- y | 0 | -1 | -2 Steps of construction : 1. Plot the points (0, 0), (1, -1) and (2, -2) on graph paper. 2. Connect points by straight line. Given, Equation : ⇒ 3x - 2y = 10 ⇒ 2y = 3x - 10 ⇒ y = ............(2) When, x = 0, y = = 0 - 5 = -5, x = 2, = 3 - 5 = -2, x = 4, = 6 - 5 = 1. Table of values for equation (2) x | 0 | 2 | 4 ---- | ---- | ---- | ---- y | -5 | -2 | 1 Steps of construction : 1. Plot the points (0, -5), (2, -2) and (4, 1) 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, -2). Hence, the solution of the given equations is x = 2, y = -2.

Mathematics

Using the same axes of coordinates and the same unit, solve graphically.
x + y = 0, 3x - 2y = 10.

Coordinate Geometry

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Mathematics

Using the same axes of coordinates and the same unit, solve graphically.x + y = 0, 3x - 2y = 10.

Coordinate Geometry

Related Questions

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

Solve the following pair of equations graphically. Plot atleast 3 points for each straight line.2x - 7y = 6, 5x - 8y = -4.

Take 1 cm to represent 1 unit on each axis to draw the graphs of the equations 4x - 5y = -4 and 3x = 2y - 3 on the same graph sheet (same axes). Use your graph to find the solution of the above simultaneous equations.

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Using the same axes of coordinates and the same unit, solve graphically.
x + y = 0, 3x - 2y = 10.

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

Solve the following pair of equations graphically. Plot atleast 3 points for each straight line.
2x - 7y = 6, 5x - 8y = -4.

Solve the following simultaneous equations graphically :
x + 3y = 8, 3x = 2 + 2y.