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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. 3x + 2y = 12, 5x − 2y = 4 - Mathematics

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

3x + 2y = 12,

5x − 2y = 4

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Solution

The given equations are 

3x + 2y = 12 ........(i)

5x − 2y = 4 ..........(ii)

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

x 4 6
y 0 -3

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

x 3 2
y 5.5 3

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 = 2, y = 3.

Also, it is observed that the lines (i) and (ii) meet the y-axis at the points (0,6) and (0, -2) respectively.

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

RD Sharma Class 10 Maths
Chapter 3 Pair of Linear Equations in Two Variables
Exercise 3.2 | Q 22.2 | Page 29
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