The grid below is filled with integers such that the sum of the numbers in each row…

MATHEMATICS · Numerical · AoPS · Mathematics · Multi-Variable Linear Equations · Multi-Variable Linear Equations

Problem

The grid below is filled with integers such that the sum of the numbers in each row and in each column is the same. Four numbers are missing. The number

x

in the lower-left corner is larger than the other three missing numbers. What is the smallest possible value of

x

$-2$	$9$	$5$
		$-1$
$x$		$8$

Related theory

Pair of Linear Equations

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