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Pair Of Linear Equations In Two Variables

Question
CBSEENMA10006936
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Represent the following pair of equations graphically and write the coordinates of points where the lines intersect y-axis :
x + 3y = 6
2x - 3y = 12

Solution

The given equations are :
x + 3y = 6    ...(i)
and 2x - 3 y = 12    ...(ii)
From equation (i), we get
x - 6 - 3y
Thus, we have following table

From equation (ii), we get
   2x = 3y + 12
rightwards double arrow space space space space space space space space straight x space equals space fraction numerator 3 straight y plus 12 over denominator 2 end fraction
Thus, we have following table

When we plot the graph of the given equation, we Find that both the lines intersect at the point (6, 0). So, a = 6, y = 0 is the solution of the given equation. From the graph it is clear that the vertices of triangle. So formed by lines representing given equations and y-axis are (6, 0).

Problems Based on Substitution Method


Some More Questions From Pair of Linear Equations in Two Variables Chapter

Which of the following pairs of linear equations are consistent/inconsistent ? Consistent, obtain the solution graphically :

2x + y – 6 = 0,      4x – 2y – 4 = 0

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