gaia35
gaia35 gaia35
  • 23-03-2022
  • Mathematics
contestada

solve the simultanious equasion
8x+3y=45
2x+3y=27
pls pls pls help​

Respuesta :

ModPatrol
ModPatrol ModPatrol
  • 23-03-2022

Answer:

[tex]x=3,\:y=7[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}8x+3y=45\\ 2x+3y=27\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}x=\frac{45-3y}{8}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{45-3y}{8}+3y=27\end{bmatrix}[/tex]

[tex]\begin{bmatrix}\frac{45+9y}{4}=27\end{bmatrix}[/tex]

[tex]y=7[/tex]

[tex]\mathrm{For\:}x=\frac{45-3y}{8}[/tex]

[tex]\mathrm{Substitute\:}y=7[/tex]

[tex]x=\frac{45-3\cdot \:7}{8}[/tex]

[tex]x=3[/tex]

[tex]\mathrm{The\:solutions\:are}:[/tex]

[tex]x=3,\:y=7[/tex]

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