Question 64389
This is quite a simple problem.. 


Here goes the solution.


The given set of equations are: 


2x + 3y = 31     ---------->(1)


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


Substituting (2) in (1), we get: 


2x + 3(x + 7) = 31 


2x + 3x + 21 = 31    -------------> (3)


[you have not multiplied the 3 with 7. So one term is missing from the expression]


Hence, (3) can be written as: 


5x + 21 = 31 


Subtract 21 from both the sides.


5x = 31 - 21 


5x = 10 


Therefore x = 2 


Now substitute the value of x in either of the equations. 


y = x + 7 


y = 2 + 7 


So we get: 


y = 9


Hence, the co-ordinates are (2, 9) 


Thus, the solution.


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Regards,

Chitra