anonymous7322
anonymous7322 anonymous7322
  • 24-03-2022
  • Mathematics
contestada

Does anyone know the answer to number 3?

Does anyone know the answer to number 3 class=

Respuesta :

xxlol4787 xxlol4787
  • 24-03-2022

Answer:

[tex](-3, 5)[/tex]

Step-by-step explanation:

Isolate x from the first equation:

[tex]x=\frac{11-4y}{3}[/tex]

Now, substitute it in  the second equation:

[tex]\begin{bmatrix}2\cdot \frac{11-4y}{3}+y=-1\end{bmatrix}[/tex]

This gives you:

[tex]\begin{bmatrix}\frac{22-5y}{3}=-1\end{bmatrix}[/tex]

So, you conclude: y = 5

Next, we substitute y = 5 into [tex]x=\frac{11-4y}{3}[/tex]

So, we get:

[tex]x=\frac{11-4\cdot \:5}{3}[/tex]

Then:

[tex]x=-3[/tex]

Finally, we have to put it into the coordinate form:

[tex](-3, 5)[/tex]

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