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

Option 2nd is correct

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

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:

`(1)/(100)x -(5)/(100)y = (1)/(10)`

Multiply both sides by 100 we get;

`x-5y = 10`

We can write equation [2] as:

`(4)/(10)x +(3)/(10)y = (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