Question

7(y-13)-2(X+2)=14
4(y-2)+3(x-3)=2

Answer 1

Step-by-step explanation:

7y-91-2x-4=14

7y-2x-95=14

→7y-2x=109-------1

4y-8+3x-9=2

4y+3x-17=2

→4y+3x=19----------2

solve 1 and 2

→21y-6x=327

→8y+6x=38

→21y+8y=327+38

→29y=365

→y=365/29.

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Answer 2

Answer:

x = - 303/29

y = 365/29

Solution:

Here,

The given equations are :

7(y - 13) - 2(x + 2) = 14 -------(1)

4(y - 2) + 3(x - 3) = 2 -------(2)

Eq-(1) can be rewritten as ;

=> 7(y - 13) - 2(x + 2) = 14

=> 7y - 91 - 2x - 4 = 14

=> 7y - 2x - 95 = 14

=> 7y - 2x = 14 + 95

=> 7y - 2x = 109 ----------(3)

Eq-(2) can be rewritten as :

=> 4(y - 2) + 3(x - 3) = 2

=> 4y - 8 + 3x - 9 = 2

=> 4y + 3x - 17 = 2

=> 4y + 3x = 2 + 17

=> 4y + 3x = 19 ---------(4)

Now,

Multiplying eq-(3) by 3 , we have ;

=> 3•(7y - 2x) = 109•3

=> 21y - 6x = 327 --------(5)

Also,

Multiplying eq-(4) by 2 , we have ;

=> 2•(4y + 3x) = 19•2

=> 8y + 6x = 38 ---------(6)

Now,

Adding eq-(5) and (6) , we have ;

=> 21y - 6x + 8y + 6x = 327 + 38

=> 29y = 365

=> y = 365/29

Now,

Putting y = 365 in eq-(4) , we have ;

=> 4y + 3x = 19

=> 4•(365/29) + 3x = 19

=> 1460/29 + 3x = 19

=> 3x = 19 - 1460/29

=> 3x = (551 - 1460)/29

=> 3x = -909/29

=> x = (-909/29) / 3

=> x = -909 / 29•3

=> x = - 303/29

Hence,

x = - 303/29

y = 365/29