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Question -

Graphically, solve the following pair of equations:
2x + y = 6
2x – y + 2 = 0
Find the ratio of the areas of the two triangles formed by the lines representing these equations with the x-axis and the lines with the y-axis. [NCERT Exemplar]



Answer -

Given equations are 2x + y – 6 and 2x – y + 2 = 0
Table for equation 2x + y = 6
Hence, the pair of equations intersect graphically at point E (1, 4), i.e., x = 1 and y = 4

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