Question

Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically.
(i) x + y = 5, 2x + 2y = 10
(ii) x-y – 8, 3x – 3y = 16
(iii) 2x + y – 6 = 0, 4x – 2y – 4 = 0
(iv) 2x – 2y – 2 = 0, 4x – 4y – 5 = 0
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Answer 1

Answer:

Thus, the equation is consistent. to solve it graphically. On plotting these points, we get the lines are coincident having infinite many solutions. the lines are parallel having no solution.So, the pair of linear equations is inconsistent. Therefore, the pair of linear equations is inconsistent