Respuesta :

On solving the linear system, for the value of y = 15, the value of x is 200. The correct option is D.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The linear equation is shown below.

[tex]\rm \dfrac{1}{5}x - \dfrac{2}{3}y = 30[/tex]

The equation can be written as

[tex]\rm 3x - 10y = 450\\[/tex]

For y = 15, the value of x will be.

[tex]\begin{aligned} \rm 3x - 10*15 &= 450\\\\\rm 3x - 150 &= 450 \\\\\rm 3x &= 600\\\\\rm x &= 200\\\end{aligned}[/tex]

The value of x is 200.

Thus, option D is correct.

More about the linear system link is given below.

https://brainly.com/question/20379472