Question 1113803
Sure!  
    Solve the first eq for x:   x = (-9 - 7y) / 6  
    Substitute the RHS of this for 'x' in the 2nd eq:
     {{{ -4  (green((-9-7y)/6)) - 5y  = 5 }}}
        36 + 28y - 30y = 30
                   -2y = -6
                       y = 3  —>  x = (-9 - 21)/6 = -5

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 Ans: {{{ highlight( x = -5 ) }}} ,   {{{ highlight( y = 3 )}}}
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Check:  
(1)   6x + 7y = 6(-5) + 7(3) = -30 + 21 = -9  (ok)
             (2)   -4x - 5y = -4(-5) - 5(3) = 20 - 15 = 5 (ok)