Determine whether $(6,7)$ is a solution of $2x + 5y= -4$.

QUESTION:
Determine whether $(6,7)$ is a solution of  $2x + 5y= -4$.

SOLUTION ==================
If $(x,y)=(6,7)$ is a solution to the equation $2x+5y=-4$, then when you substitute the values for x and y into the equation, it should be satisfied. 

so you must show that LHS = RHS  (left hand side = right hand side) 

LHS $= 2x+5y$
      $= 2(6) + 5(7)$
     $= 12 +35$
   $= 47$
but RHS$= -4$ 

so LHS is not equal to RHS and so the equation is NOT satisfied. 

answer: NO. 
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