Question

21/x +47/y =110and 27/x + 21/y =162 find value of x and y​

Answer 1

Answer:

(3,1)

Step-by-step explanation:

Given : 21x+47y=11021x+47y=110

47x+21y=16247x+21y=162

To Find: Solution.

Solution:

21x+47y=11021x+47y=110 --1

47x+21y=16247x+21y=162 ---2

Substitute the value of x from 1 in 2

47\frac{110-47y}{21}+21y=16247

21

110−47y

+21y=162

47(110-47y)+441y=340247(110−47y)+441y=3402

5170-2209y+441y=34025170−2209y+441y=3402

5170−1768y=34025170−1768y=3402

5170-3402=1768y5170−3402=1768y

1768=1768y1768=1768y

y=1y=1

Substitute the value of y in 2 to get value of x

47x+21(1)=16247x+21(1)=162

47x+21=16247x+21=162

47x=162-2147x=162−21

47x=14147x=141

x=\frac{141}{47}x=

47

141

x=3x=3

Hence the solution is (3,1)