Draw the rough graph of the linear equations given below (a) 3x - 2y = 7 4x – 3y = 8
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Class 9
>>Maths
>>Linear Equations in Two Variable
>>Graph of a Linear Equation in Two Variables
>>Draw the graph of each of equations give
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Draw the graph of each of equations given below. Also, find the coordinates of the points where the graph cuts the coordinate axes:
6x−3y=12.
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Given 6x−3y=12
⟹3(2x−y)=12
⟹2x−y=4
⟹y=2x−4⋯(1)
To draw the graph , we need atleast two solutions
Also to find the coordinates of the points where the graph cuts the coordinate axes,put x=0 and y=0 respectively
Put x=0 in (1)
⟹y=2(0)−4=0−4=−4
(0,−4) is the solution of given line
Put y=0
⟹0=2x−4
⟹2x=4
⟹x=2
(2,0) is the solution of given line
With these two solutions we can draw graph of 6x−3y=12
(2,0) & (0,−4) are the points where the graph cuts the coordinate axes