Question 1178089
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            The solution by @josgarithmetic giving the answer   a= 37,   b= -14  is  INCORRECT.


            I came to bring you the correct solution.



<pre>
Your starting equations are


     a - 2b = 9     (1)

    2a - 3b = 4     (2)


To solve the system, express a = 2b + 9 from the first equation and substitute it into the second equation, 
replacing  "a" there.  You will get


    2*(2b+9) - 3b = 4

    4b + 18 - 3b = 4

    4b - 3b = 4 - 18 

       b    = -14.


Now from equation (1),  a = 2b + 9 = 2*(-14) + 9 = -28 + 9 = -19.


<U>ANSWER</U>.  a= -19;  b= -14.


<U>CHECK</U>.  To check the solution, substitute the found values "a" and "b" into the original equations.
</pre>

Solved (correctly).


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For your safety, &nbsp;ignore the post by @josgarithmetic.