Solving Linear Systems  Word Problem
A group of 51 people attend a ball game. There were twice as many children as adults in the group. Write a system of equations that you could use to solve this problem, where (a) is the number of adults and (c) is the number of children in the group.
Solve the system of equations for (c), the number of children in the group.
Solving Linear Systems by Elimination
5x+6y=23
4x6y=14
I've tried it:
5x+6y=23

4x6y= 14
_______________
x = 37
Then I did this:
5(37)+6y=23
185+6y=23
185 185
6y=162
 
6 6
y = 27
But when I plug those numbers in, it doesn't work. Help please :)