Answer:
The numbers are approximately: 4.000 and 1.000
Step-by-step explanation:
The given parameters can be expressed as:
[tex]\frac{x}{1000} + \frac{y}{1000} \approx 5[/tex]
[tex]\frac{x}{1000} - \frac{y}{1000} \approx 3[/tex]
Required
Determine the numbers
In each of the equations, multiply by 1000
[tex]1000 * [\frac{x}{1000} + \frac{y}{1000} \approx 5][/tex]
[tex]x + y \approx 5000[/tex]
[tex]1000 * [\frac{x}{1000} - \frac{y}{1000} \approx 3][/tex]
[tex]x-y \approx 3000[/tex]
So, we have:
[tex]x + y \approx 5000[/tex]
[tex]x-y \approx 3000[/tex]
Add the two equations
[tex]x + x + y - y \approx 5000 + 3000[/tex]
[tex]2x \approx 8000[/tex]
Solve for x
[tex]x \approx 8000/2[/tex]
[tex]x \approx 4000[/tex]
Substitute [tex]x \approx 4000[/tex] in [tex]x + y \approx 5000[/tex]
[tex]4000 + y \approx 5000[/tex]
[tex]y \approx 5000 - 4000[/tex]
[tex]y \approx 1000[/tex]
Using:
[tex]\frac{x}{1000} + \frac{y}{1000} \approx 5[/tex]
We have:
[tex]\frac{4000}{1000} + \frac{1000}{1000} \approx 5[/tex]
[tex]4.000 + 1.000 \approx5[/tex]
This implies that, the numbers approximates to 4.000 and 1.000, respectively.
