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Answer :

Answer:

B) one solution

Step-by-step explanation:

to understand this

you need to know about:

  • linear equation
  • PEMDAS

tips and formulas:

  • [tex]\sf\text{a system of linear equation has only one solution if $\frac{a_1}{a_2}\neq \frac{b_1}{b_2}$}[/tex]

given:

  • [tex] \begin{cases}2x - 4y = - 1 \\ 8x - 11y = - 19 \end{cases}[/tex]

let's solve:

  1. [tex] \sf substitute \: the \: value \: of \: a \: b : \\ \frac{2}{8} \ne \frac{ - 4}{ - 11} \\ [/tex]

[tex]\text{$\therefore$ the system of linear equation has only one solution}[/tex]

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