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Answered

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how many solutions does the system of equations have y-5x=-6 and 3y-15=-12​

Sagot :

Nayefx

Answer:

one solution

Step-by-step explanation:

to understand this

you need to know about:

  • system of linear equation
  • PEMDAS

tips and formulas:

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

let's solve:

define a,b

  • [tex]a_1=1[/tex]
  • [tex]a_2=3[/tex]
  • [tex]b_1=-5[/tex]
  • [tex]b_2=-15[/tex]
  1. [tex] \sf substitute \: the \: value \: of \: a_1\: a_2 \: b_{1}\: b_{2} : \\ \sf \frac{1}{3} \neq \frac{ - 5}{ - 15} \\ \sf \frac{1}{ 3} \neq - \frac{1}{3} [/tex]

therefore

the system of linear equation has only one solution

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