Question

How do you solve the system of equations `0.4x + y = 2.2` and `0.5x - 1.1y = 0.4`?

Answer 1

`x= 3` and `y= 1`

Explanation:

Start expanding the first equation by 1.1
`0.44x+y=2.42`
The second equation: `0.5x-1.1y=0.4`
Combine these two:
`0.44x+0.5x=2.82`
Now x can be computed `x=2.82/0.94` `x=3`

Either the first or the second equation will yield y now after putting 3 for x:
`0.4*3+y=2.2`
`y=1`