Question

How do you solve the following system of equations?: `x-2y=13 , x - y= 10`?

Answer 1

lettuce solve for `x` as it is same in both equations

`1^(st)equation`
`x-2y=13`
Transfer `2y`
`x=13+2y`

`2^(nd)equation`
`x-y=10`
Put value of `x`
`13+2y-y=10`
Solve
`13+y=10`
Transfer `13`
`y=10-13`
`color(red)(y=-3`
`x=13+2y`
`x=13+2xx-3`
`x=13-6`
`color(red)(x=7`