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Answered

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Determine the number of solutions for this system of equations by inspection only. 3x+4y=17

21x+28y=109

Sagot :

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Answer:

no solution

Step-by-step explanation:

to understand this

you need to know about:

  • system of linear equation

tips and formulas:

  • a system of linear equation has no solution if [tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}[/tex]

let's solve:

according to the question

[tex] \frac{3}{21} = \frac{4}{28} \neq \frac{17}{109} \\ \frac{1}{7} = \frac{1}{7} \neq \frac{17}{109} [/tex]

therefore

the system of linear equation has no solution

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