Question

solve the linear pair of equations 3x-(y + 7) /11 +2= 10 and 2y+(x+11)/7 =10 ​

Answer 1

Question : solve the linear pair of equations 3x-(y + 7) /11 +2= 10

and 2y+(x+11)/7 =10 ​

Solution :

⇒3x- (y-7)/11 +2 =10  

multiply both sides by 11  

⇒33x -(y-7) + 22 = 110  

⇒33x-y+7+22=110  

⇒33x-y +29 = 110  

⇒ 33x-y = 81 -----(1)  

⇒2y+(x+11)/7 = 10  

multiply both sides by 7  

⇒14y +(x+11) = 70  

⇒14y +x + 11 = 70  

⇒x+14y = 59 ----(2)  

⇒33x-y = 81-------(1)  

⇒x+14y = 59 -----(2)  

Multiply equation (1) by 14  

⇒462x-14y = 1134  

⇒x+14y = 59 --------(2)  

add: (1) & (2)

⇒463 x = 1193  

⇒x= 1193/463

substitute x=1193/463 into equation (2)  

⇒1193/463 + 14y = 59  

multiply both sides by 463  

⇒1193 + 6482y = 27317  

⇒6482y = 26124  

⇒y = 26124 / 6482  

divide the numerator and the denominator by 14  

⇒y = 1866/ 463  

⇒x= 1193/463  

⇒y = 1866/ 463