The course of an enemy submarine, as plotted on rectangular co-ordinate axes, gives the equation 2x + 3y = 4. On the same axes, a destroyer's course is indicated by the graph x - y = 7. Use the graphical method to find the point at which the paths of the submarine and the destroyer intersect.
Graphical Solution
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Question

The course of an enemy submarine, as plotted on rectangular co-ordinate axes, gives the equation 2x + 3y = 4. On the same axes, a destroyer's course is indicated by the graph x - y = 7. Use the graphical method to find the point at which the paths of the submarine and the destroyer intersect.

Graphical Solution

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KnowledgeBoat · Accepted Answer

Enemy equation: 2x + 3y = 4 Step 1: Give at least three suitable values to the variable x and find the corresponding values of y. Let x = -4, then 2 (-4) + 3y = 4 ⇒ y = 4 Let x = -1, then 2 (-1) + 3y = 4 ⇒ y = 2 Let x = 5, then 2 5 + 3y = 4 ⇒ y = -2 Step 2: Make a table (as given below) for the different pairs of the values of x and y: x | -4 | -1 | 5 --|----|----|--- y | 4 | 2 | -2 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. Destroyer equation: x - y = 7 Step 1: Give at least three suitable values to the variable x and find the corresponding values of y. Let x = 5, then 5 - y = 7 ⇒ y = -2 Let x = 9, then 9 - y = 7 ⇒ y = 2 Let x = 11, then 11 - y = 7 ⇒ y = 4 Step 2: Make a table (as given below) for the different pairs of the values of x and y: x | 5 | 9 | 11 --|----|-- |--- y | -2 | 2 | 4 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. Both the straight lines intersect at point P. As it is clear from the graph, co-ordinates of point P are (-2, -1). Hence, (5, -2) is the point at which the paths of the submarine and the destroyer intersect.

Mathematics

The course of an enemy submarine, as plotted on rectangular co-ordinate axes, gives the equation 2x + 3y = 4. On the same axes, a destroyer's course is indicated by the graph x - y = 7. Use the graphical method to find the point at which the paths of the submarine and the destroyer intersect.

Graphical Solution

Related Questions

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

Using the same axes of co-ordinates and the same unit, solve graphically :
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(Take at least 3 points for each line drawn).

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Mathematics

The course of an enemy submarine, as plotted on rectangular co-ordinate axes, gives the equation 2x + 3y = 4. On the same axes, a destroyer's course is indicated by the graph x - y = 7. Use the graphical method to find the point at which the paths of the submarine and the destroyer intersect.

Graphical Solution

Related Questions

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

Using the same axes of co-ordinates and the same unit, solve graphically :x + y = 0 and 3x - 2y = 10.(Take at least 3 points for each line drawn).

Solve graphically, the following equations.x + 2y = 4; 3x - 2y = 4.Take 2 cm = 1 unit on each axis.Also, find the area of the triangle formed by the lines and the x-axis.

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

Using the same axes of co-ordinates and the same unit, solve graphically :
x + y = 0 and 3x - 2y = 10.
(Take at least 3 points for each line drawn).

Solve graphically, the following equations.
x + 2y = 4; 3x - 2y = 4.
Take 2 cm = 1 unit on each axis.
Also, find the area of the triangle formed by the lines and the x-axis.