Question

How do you solve the simultaneous equations `2x + 5y = 16` and `4x + 3y = 11`?

Answer 1

I found:
`x=1/2`
`y=3`

Explanation:

You can multiply the first equation by `-2` and add it to the second as:
`{-4x-10y=-32`
`{4x+3y=11`
add together the two equations in column (x with x, y with y, etc.):
`0-7y=-21`
so: `y=-21/-7=3` substitute this value back into the first equation to find `x`:
`2x+15=16`
`x=1/2`