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Which of the systems below is equivalent to the given system?


0.01x - 0.05y = 0.1

0.4x + 0.3y = 0.9

  1. 10x - 5y = 10 and 4x + 3y = 9
  2. x - 5y = 10 and 4x + 3y = 9
  3. x - 5y = 1 and 4x + 3y = 9

Verified Answer :

The answer would be x - 5y = 10 and 4x + 3y = 9 so choice 2.

Answer:

Option 2nd is correct

x - 5y = 10 and 4x + 3y = 9

Step-by-step explanation:

Given the system of equation:

\(0.01x-0.05y = 0.1\)                ....[1]

\(0.4x+0.3y = 0.9\)                  ....[2]

We can write equation [1] as:

\(\frac{1}{100}x -\frac{5}{100}y = \frac{1}{10}\)

Multiply both sides by 100 we get;

\(x-5y = 10\)

We can write equation [2] as:

\(\frac{4}{10}x +\frac{3}{10}y = \frac{9}{10}\)

Multiply both sides by 10 we get;

\(4x+3y=9\)

⇒the system of equation we get;

\(x-5y = 10\)

\(4x+3y=9\)

Therefore, the systems which is equivalent to the given system is:

x - 5y = 10 and 4x + 3y = 9

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