## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$(-1,-2)$ is not a solution of the system
A solution of a system of two equations in two variables is an ordered pair of numbers that makes both equations true. Substituting $x=-1, y=-2$ into each equation, $x+3y=-7$ $(-1)+3(-2)\stackrel{?}{=}-7$ $-1-6=-7,\qquad$...the first equation is true for $(-1,-2)$ $3x-2y=12$ $3(-1)-2(-2)\stackrel{?}{=}12$ $-3+4\neq 12\qquad$...the second equation is not true for $(-1,-2)$ $(-1,-2)$ is not a solution of the system.