Question

1 upon 7 x + 1 upon 6 Y is equal to 3 and 1 upon 2 x minus 1 upon 2 Y is equals to 5 find the value of x and y​

Answer 1

Answer:

Step-by-step explanation:

1/7x+1/6y = 3

1/2x-1/2y= 5

By alternendo

6y/7x+1 = 3........1

2y/2x-1 = 5......2

Cross multiply 1

6y= 3(7x+1)

6y= 21x+3

6y - 21x = 3.........3

By cross multiplying 2

2y/2x-1 = 5

2y=5(2x-1)

2y = 10x-5

2y-10x= - 5.........4

By elimination method

Multiple equation 4 by 3

3(2y-10x) =3(-5)

6y-30x= - 15.....5

Subtract equation 3 from 5

6y-30x=-15

- 6y-21x = 3 while subtracting

+ - sign get changes

0 - 9x = - 18

Minus sign get canceled as both side is minus

So, x=18/9

X=2

Substitute x=2 in equation 4

2y-10x=-5

2y-10(2) = - 5

2y-20 = - 5

2y= 20-5

2y=15

y=15/2

y=7.5

So, x=2 and y=7.5

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Answer 2

Answer:

x=1/14 and y=1/6

Step-by-step explanation:

a=14,b=6