Question

How do you solve this set of linear equations: `2x - y = 5; 3x + 2y = 4`?

Answer 1

We're gonna solve for `y` this time because in the first equation it is `y` and in the second it is `2y` so it'll be easier
`1^(st) equation`
`2x-y=5`
Transfer `2x`
`-y=5-2x`
Transfer the minus(-)
`y=-(5-2x)`
`y=-5+2x`
If you didn't understand what I did there... simply think I multiplied both sides by `-1`
`2^(nd)equation`
`3x+2y=4`
Put value of `y`
`3x+2xx(-5+2x)=4`
Expand
`3x-10+4x=4`
Solve and transfer `10`
`7x=4+10`
`7x=14`
Transfer `7`
`x=14/7`
`color(red)(x=2`
`y=-5+2x`
`y=-5+2xx2`
`y=-5+4`
`color(red)(y=-1`