Example No # 2 For example, suppose we have the following equations : (11/4)x - (7/2)y = 36 -182x + 143y = 247 Here, we first simplify and re-arrange the above both equations as follows : First equation : (11/4)x - (7/2)y = 36 (11/4)x - (14/4)y = 36 Therefore, 11x - 14y = 144 Second equation : -182x + 143y = 247 Dividing by 13 throughout, we get -14x + 11y = 19 Therefore, 14x - 11y = -19 Now, adding the above two simplified equations, we get : 25x - 25y = 125 → x - y = 5 → x = y + 5 And subtracting the two simplified equations, we get : -3x - 3y = 163 → 3x + 3y = -163 Substituting the value of 'x' from above, we get : Therefore, 3(y + 5) + 3y = -163 → 6y + 15 = -163 → y = -(178/6) = -(89/3) Therefore, x = y + 5 = -(89/3) + 5 =-(74/3) |
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