2a - 5b = 3
3a + b  = 4
            
Multiply everything in the second equation by
            5
By multiplying, your equation should look
            like
   2a - 5b =
            3
15a + 5b = 20   
            now, add -5b with 5b (which means add 2a with 15a and 3 with 20 )
            
By adding, your equation should look
            like
17a = 23 divide both
            sides by 17
By dividing, your equation should look
            like
a = 23/17 which is your
            answer for " a "
Now plug 23 /17 into one of the
            equation
3 (23/17) + b  = 4
             now multiply 23/17 with 3
By multiplying,
            your equation should look like
69/17 + b = 4
            now, subtract 69/17 on both sides
By
            subtracting, you should get
 = -1/17
            which is your answer for " b "
So your
            answer is a = 23/17   ;    b =
            -1/17
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