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Solve the following pair of linear equations for x and y : 141x + 93y =189 93x+ 141 =45 |
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Answer» 141x + 93y = 189 93x + 141y = 45 To Find: value of x and y Solution: we have, 141x+93y=189 -------------------(i) 93x+141y=45 --------------------(ii) multiply eq(i) by 93 and eq(ii) by 141 ⇒ 93(141x+93y=189) ⇒ 141(93x+141y=45) ⇒ 13113x+8649y=17577 ⇒ 13113x+19881y=6345 subtracting the equations we get, ⇒ -11232y = 11232 ⇒ y = -1 putting the value of y = -1 in equation (i) ⇒ 141x+93y=189 ⇒ 141x+93*(-1)=189 ⇒ 141x-93=189 ⇒ 141x=189+93 ⇒ 141x=282 ⇒ x=2 So, x = 2 and y = -1. |
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