Respuesta :

gmany

[tex] \left\{\begin{array}{ccc}y=-\frac{1}{3}x+6\\x=-6\end{array}\right\\\text{put the value of x to the first equation}\\\\y=-\dfrac{1}{3}\cdot(-6)+6=2+6=8\\\\\text{Answer:}\ x=-6;\ y=8\to(-6;\ 8) [/tex]

The solution of the equation is Y = 9 and x = -6.

Given that

The system of equation is as follows;

[tex]\rm Y=\dfrac{-1}{3}x+6\\\\x=-6[/tex]

We have to determine

The solution of the equation.

According to the question

The solution of the equation can be determined in the following steps follow all the steps given below.

The system of equation is as follows;

[tex]\rm Y=\dfrac{-1}{3}x+6\\\\x=-6[/tex]

Substitute x = -6 in the equation 1

[tex]\rm Y = \dfrac{-1}{3}x+6\\\\Y = \dfrac{-1}{3}(-6)+6\\\\Y = (-1) \times (-3)+6\\\\Y = 3 +6\\\\Y = 9[/tex]

Hence, the solution of the equation is Y = 9 and x = -6.

To know more about System of Equation click the link given below.

https://brainly.com/question/11280337

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