SOLVING
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
Which ordered pairs make the equation [tex]\bf{3x+2y=-7}[/tex] true? Select all that apply. 3 options are given
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
We can tell which ordered pairs make equations true by plugging in the coordinates.
[tex]\mathbb{ORDERED\;PAIR\;NUMBER\;ONE}[/tex]
[tex]\bf{3(3)+2(-8)=-7}[/tex] | simplify
[tex]\bf{9-16=-7}[/tex] |simplify
[tex]\bf{-7\equiv-7}[/tex] | this one checks
[tex]\mathbb{ORDERED\;PAIR\;NUMBER\;TWO}[/tex]
[tex]\bf{3(-2)+2(-1)=-7}[/tex] | simplify
[tex]\bf{-6-2=-7}[/tex] | simplify
[tex]\bf{-8\neq-7}[/tex] | this one does not check
[tex]\mathbb{ORDERED\;PAIR\;NUMBER\;THREE}[/tex]
[tex]\bf{3(1)+2(-4)=-7}[/tex] | simplify
[tex]\bf{3-8=-7}[/tex] | simplify
[tex]\bf{-5\ne-7}[/tex] | this one does not check
[tex]\rule{300}{1.7}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=The\;First\;Option[/tex]
[tex]\boxed{\bf{aesthetic \not101}}[/tex]