12) 3x-y+711+2=103x+14y=65Hence find the value of xy - Maths - Pair of Linear Equations in Two Variables

Question

12 )   3 x - y + 7 11 + 2 = 10 3 x + 14 y = 65 H e n c e
  f i n d   t h e   v a l u e   o f   x y

Shruti Tyagi · Accepted Answer

Dear student,

We have,3x-y+711+2=0⇒33x-y-7+22=0⇒33x-y=-15                 --(1)and 3x+14y=65             --(2)solving (1) and (2)33x-y=-15       ]×14462 x-14y=210   3x+14y=65         465x=275       ⇒x=275465       ⇒x=5593from (2)⇒ 3x+14y=65⇒3×5593+14y=65⇒5531+14y=65⇒14y=65-5531⇒y=2015-5514×31⇒y=196014×31⇒y=14031⇒y=140×331×3⇒y=42093Now, xy=559342093⇒xy=55420⇒xy=1184thus the value of xy is 1184
Regards

12 ) 3 x - y + 7 11 + 2 = 10 3 x + 14 y = 65 H e n c e f i n d t h e v a l u e o f x y

$12) 3 x - \frac{y + 7}{11} + 2 = 10 3 x + 14 y = 65 H e n c e f i n d t h e v a l u e o f \frac{x}{y}$