Question

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

Answer 1

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

Answer 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