Find two numbers if their sum is 6.1 and their difference is 1.6
Question
Answer:
For this case, the first thing we must do is define variables:x: unknown number (1)
y: unknown number (2)
We now write the equations that model the problem:
their sum is 6.1:
[tex]x + y = 6.1 [/tex]
their difference is 1.6:
[tex]x - y = 1.6 [/tex]
Solving the system we have:
We add both equations:
[tex]x + x = 6.1 + 1.6 2x = 7.7 x = 7.7 / 2 x = 3.85[/tex]
Then, we look for the value of y using any of the equations:
[tex]x - y = 1.6 y = x - 1.6 y = 3.85 - 1.6 y = 2.25[/tex]
Answer:
The numbers are:
[tex]x = 3.85 y = 2.25[/tex]
solved
general
11 months ago
9062