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If `3x - 2y = 12 and 6x + y = 9`, then find the values of x and y |
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Answer» `3x - 2y = 12` (1) `6x + y = 9` (2) Using this method, the two equations are reduced to a single variable equation by substituting the value of one variable, obtained from one equation, in the other equation Step1: Using the first equation, find x in terms of y, i.e., `3x - 2y = 12 rArr 3x = 12 + 2y` `rArr x = (12 + 2y)/(3)` (3) Step2: Substitute the value of x in the second equatio to find the value of y, i.e., `6x + y = 9` `rArr 6((12 + 2y)/(3)) + y = 9` Step 3: Simplify the equation in terms of y and find the value of y `2(12 + 2y) + y = 9` `rArr 24 + 4y + y = 9` `rArr 5y = 9 - 24` `rArr y = -3` Step4 : Substituting the value of y in Eq. (3) we get `x = 2` `:.` The solution for the given pair of equations is (x, y) i.e., `(2, -3)` |
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