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  • 17-03-2022
  • Mathematics
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solve the system of linear equations -x+5y=15 -1/5x+y=3​

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bignastyjack
bignastyjack bignastyjack
  • 17-03-2022

Answer:

[tex](0,3)[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}-\frac{1}{5}\left(15-5y\right)+y=3\end{bmatrix}[/tex]

[tex]\begin{bmatrix}-3+2y=3\end{bmatrix}[/tex]

[tex]+3[/tex]             [tex]+3[/tex]

[tex]2y\f=6[/tex]

÷[tex]2[/tex]     ÷[tex]2[/tex]

[tex]y=3[/tex]

[tex]\mathrm{for\:}x=15-5y[/tex]  [tex]\mathrm{substitute\:}y=3[/tex]

[tex]x=15-5\cdot \:3[/tex]

[tex]5*3=15[/tex]

[tex]15-15=0[/tex]

[tex](x,y)[/tex]

[tex](0,3)[/tex]

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