Write two solutions for each of the following equations
1) x=6y
Answers
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Explanation:
(i) 3x + 4y =7 ….(1) Step 1: Isolate above equation in y. Subtract 3x from both the sides, 3x + 4y – 3x = 7 – 3x 4y = 7 – 3x Divide each side by 4 y = 1/4 x (7 – 3x) ….(2) Step 2: Find Solutions Substituting x = 1 in (2) y = 1/4 x (7 – 3) = 1/4 x 4 = 1 Thus x = 1 and y = 1 is the solution of 3x + 4y = 7 Again, Substituting x = 2 in (2) y = 1/4 x (7 – 3 x 2) = 1/4 x 1 = 1/4 Thus x = 2 and y = 1/4 is the solution of 3x + 4y = 7 Therefore, (1, 1) and (2, 1/4) are two solution of 3x + 4y = 7. (ii) Given: x = 6y Substituting x = 0 in the given equation, 0 = 6y or y = 0 Thus (0,0) is one solution Again, substituting x = 6 6 = 6y or y = 1 Thus, (6, 1) is another solution. Therefore, (0, 0) and (6, 1) are two solutions of x = 6y. Read more on Sarthaks.com - https://www.sarthaks.com/610659/write-two-solutions-for-each-of-the-following-equations-i-3x-4y-7-ii-x-6y-iii-x-y-4-iv-2-3x-y-4