Find graphically the vertices of the triangle whose sides have the equations 2y - x = 8, 5y - x = 14 and y - 2x = 1. Take 1 cm = 1 unit on both the axes.
Graphical Solution
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Question

Find graphically the vertices of the triangle whose sides have the equations 2y - x = 8, 5y - x = 14 and y - 2x = 1. Take 1 cm = 1 unit on both the axes.

KnowledgeBoat · Accepted Answer

First equation: 2y - x = 8 Step 1: Give at least three suitable values to the variable x and find the corresponding values of y. Let x = -2, then 2y - (-2) = 8 ⇒ y = 3 Let x = 0, then 2y - 0 = 8 ⇒ y = 4 Let x = 2, then 2y - 2 = 8 ⇒ y = 5 Step 2: Make a table (as given below) for the different pairs of the values of x and y: x | -2 | 0 | 2 --|--- |---|--- y | 3 | 4 | 5 Step 3: Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph. Second equation: 5y - x = 14 Step 1: Give at least three suitable values to the variable x and find the corresponding values of y. Let x = -4, then 5y - (-4) = 14 ⇒ y = 2 Let x = -1, then 5y - (-1) = 14 ⇒ y = 2.6 Let x = 1, then 5y - 1 = 14 ⇒ y = 3 Step 2: Make a table (as given below) for the different pairs of the values of x and y: x | -4 | -1 | 1 --|--- |---|--- y | 2 |2.6| 3 Step 3: Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph. Third equation: y - 2x = 1 Step 1: Give at least three suitable values to the variable x and find the corresponding values of y. Let x = -2, then y - 2 (-2) = 1 ⇒ y = -3 Let x = 0, then y - 2 0 = 1 ⇒ y = 1 Let x = 2, then y - 2 2 = 1 ⇒ y = 5 Step 2: Make a table (as given below) for the different pairs of the values of x and y: x | -2 | 0 | 2 --|--- |---|--- y | -3 | 1 | 5 Step 3: Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph. The vertices of triangle ABC are A(-4, 2), B(1, 3) and C(2, 5).

Mathematics

Find graphically the vertices of the triangle whose sides have the equations 2y - x = 8, 5y - x = 14 and y - 2x = 1. Take 1 cm = 1 unit on both the axes.

Graphical Solution

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Mathematics

Find graphically the vertices of the triangle whose sides have the equations 2y - x = 8, 5y - x = 14 and y - 2x = 1. Take 1 cm = 1 unit on both the axes.

Graphical Solution

Related Questions

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Draw the graph of straight line y = -2x + 3. Use your graph to find :
(i) the intercept on y-axis
(ii) the area between the line and co-ordinate axes.

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