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Please answer It I'll mark u the brain |
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Answer» Answer: HERE IS YOUR ANSWER AND PLZZ MARK IT AS BRAINLIEST Step-by-step EXPLANATION: We have and Lets simplify these equations. Assuming p = 1/(3x + y) and q = 1/(3x – y), p + q = 3/4 ⇒ 4P + 4q = 3 …(i) Also, ⇒ p/2 – q/2 = - 1/8 ⇒ 4p – 4q = - 1 …(II) To solve these equations, we need to make one of the variables (in both the equations) have same coefficient. The variable p and q in both the equations have same coefficient. ⇒ 8p = 2 ⇒ p = 1/4 Substitute p = 1/4 in eq.(i)/eq.(ii), as per convenience of solving. Thus, substituting in eq.(ii), we get 4(1/4) – 4q = - 1 ⇒ 1 – 4q = - 1 ⇒ 4q = 2 ⇒ q = 1/2 Thus, p = 1/4 and q = 1/2 As p = 1/(3x + y), ⇒ ⇒ 3x + y = 4 …(iii) And q = 1/(3x – y) ⇒ ⇒ 3x – y = 2 …(iv) ADDING equations (iii) and (iv) to obtain X and y, (3x + y) + (3x – y) = 4 + 2 ⇒ 6x = 6 ⇒ x = 1 Putting the value of x in equation (iv), we get 3(1) – y = 2 ⇒ 3 – y = 2 ⇒ y = 1 Hence, we have x = 1 and y = 1 |
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