Question

WORTH OF 45 POINTS

In a magic square each row adds up to the same total, what value of m , makes this a magic square?


{ 1 } {-10 } [-2 }

{ 5 } { 4m} { 4 }

{-17} { 19} {-13}

Answer 1

m = - 5

Explanation:

sum the first row

1 - 10 - 2 = 1 - 12 = - 11

sum the third row

- 17 + 19 - 13 = 2 - 13 = - 11

the second row must then sum to - 11 , that is

5 + 4m + 4 = - 11

9 + 4m = - 11 ( subtract 9 from both sides )

4m = - 20 ( divide both sides by 4 )

m = - 5