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Solve Graphically Each of the Following Systems of Linear Equations. Also, Find the Coordinates of the Points Where the Lines Meet Axis Of Y. X + 2y − 7 = 0, 2x − Y − 4 = 0 - Mathematics

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Question

Solve graphically each of the following systems of linear equations. Also, find the coordinates of the points where the lines meet axis of y.

x + 2y − 7 = 0,

2x − y − 4 = 0

Solution

The given equations are 

x + 2y − 7 = 0  ..............(i)

2x − y − 4 = 0  ...............(ii)

The two points satisfying (i) can be listed in a table as,

x 5 7
y 1 0

The two points satisfying (ii) can be listed in a table as,

x 2 1
y 0 -2

Now, the graph of equations (i) and (ii) can be drawn as,

It is seen that the solution of the given system of equations is given by x = 3, y = 2.

Also, it is observed that the lines (i) and (ii) meet the y-axis at the points (0,3.5) and (0, -4) respectively.

  Is there an error in this question or solution?
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APPEARS IN

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 3: Pair of Linear Equations in Two Variables
Ex. 3.2 | Q: 22.4 | Page no. 29
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 3: Pair of Linear Equations in Two Variables
Ex. 3.2 | Q: 22.4 | Page no. 29
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Solve Graphically Each of the Following Systems of Linear Equations. Also, Find the Coordinates of the Points Where the Lines Meet Axis Of Y. X + 2y − 7 = 0, 2x − Y − 4 = 0 Concept: Graphical Method of Solution of a Pair of Linear Equations.
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