FGV 2019 – Questão 18

Matemática / Sistemas lineares
A respeito do sistema de equações lineares, nas incógnitas x e y, dado por open curly brackets table attributes columnalign left end attributes row cell m x space minus space 3 y space equals 4 end cell row cell 4 x space minus space 5 y equals 7 end cell end table close, com m sendo um número real, é correto afirmar que
a) representa um ponto no plano apenas quando m = 0.
b) representa um par de retas concorrentes no plano quando m =12 over 5 .
c) não apresenta solução para m =12 over 5 .
d) apresenta infinitas soluções para m =12 over 5 .
e) é possível e determinado para qualquer valor de m.

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