Value of x in pair of linear equations 36x + 24y = 702 and 24x + 36y

1.	Value of x in pair of linear equations 36x + 24y = 702 and 24x + 36y = 558 is(A) 33/2(B) 145/7(C) 16(D) 17
Answer» The correct option is: (A) 33/2 Explanation: We have, 36x + 24y = 702 and 24x + 36y= 558 Simplifying above equations, we get 6x + 4y = 117 ....(1) and 4x + 6y = 93 .....(2) Multiplying eq. (1) by 3, eq. (2) by -2 and then adding, we get 18x + 12y - 8x - 12y = 351 - 186 => 10x = 165 => x = 165/10 = 33/2

Value of x in pair of linear equations 36x + 24y = 702 and 24x + 36y = 558 is(A) 33/2(B) 145/7(C) 16(D) 17

Answer»

The correct option is: (A) 33/2

Explanation:

We have, 36x + 24y = 702

and 24x + 36y= 558

Simplifying above equations, we get

6x + 4y = 117 ....(1)

and 4x + 6y = 93 .....(2)

Multiplying eq. (1) by 3, eq. (2) by -2 and then adding, we get

18x + 12y - 8x - 12y = 351 - 186

=> 10x = 165 => x = 165/10 = 33/2