Question 594462
x + 2y = 14
x – 3y = 9

there are many ways to approach this, i am going to use the substitution method.
for that method, you have to take one equation , write letter in term of the other letter and plug that in the other equation.

 let take the first one,  x+2y =14  --> x = 14 - 2y
by plugging that in the second equation, we get  
  x- 3y = 9    -->  14-2y -3y =9
               --> 14-5y = 9
               --> -14 +14 -5y = -14 +9
               --> -5y= -5
               --> -5y/(-5) = -5/(-5)
              --> y=1

 and we know that x = 14 -2y = 14 - 2(1)= 14-2 = 12

 so the answer to the system is ( 12, 1)