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Write the co-ordinates of points where the lines intersect the y-axis:
x + 3y = 6
2x − 3y = 12

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(0,2) and (0, -4)

(1,2) and (1, -4)

(0,4) and (0, -6)

(2,0) and (-4, 0)

answer is A.

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Detailed Solution

For the linear equation x + 3y = 6 i.e., x = 6 − 3y, the solution table is as follows:

x	6	3	0
y	0	1	2

For the linear equation 2x − 3y = 12 i.e., $x = \frac{12 + 3 y}{2}$ , the solution table is as follows:

x	6	3	0
y	0	−2	−4

The graphical representation of the given linear equations is as follows:

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