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tester [92]
3 years ago
12

What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200.

Mathematics
1 answer:
worty [1.4K]3 years ago
7 0

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

<h3>What is the linear system?</h3>

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.

\rm \dfrac{1}{5}x - \dfrac{2}{3}y = 30

The equation can be written as

\rm 3x - 10y = 450\\

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

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

The value of x is 200.

Thus, option D is correct.

More about the linear system link is given below.

brainly.com/question/20379472

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=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right)  }{-2\sqrt{21} }

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=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right)  }{\sqrt{21} } \times\frac{\sqrt{21} }{\sqrt{21} }

=\frac{-6\sqrt{21} \left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right)  }{21 }

=\frac{-6\sqrt{210} +6\sqrt{147} +6\sqrt{63}  }{21 }

=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210}  }{21 }

<u><em>Remark</em></u>:

You can simplify moreover if you want to.

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