Magic Square
Source:
January 5, 2007
algebrasystem of equations
Problem Statement
In a magic square, the sum of the three entries in any row, column, or diagonal is the same value. The figure shows four of the entries of a magic square. Find [asy]
size(100);defaultpen(linewidth(0.7));
int i;
for(i=0; i<4; i=i+1) {
draw((0,2*i)--(6,2*i)^^(2*i,0)--(2*i,6));
}
label("", (1,5));
label("", (1,3));
label("", (3,5));
label("", (5,5));[/asy]