Question

How do you solve `-6x + 10y = 5` and `-2x + 3y = -1`?

Answer 1

`(x,y) = (25/2, 8)`

Explanation:

[1]`color(white)("XXXX")` `−6x+10y=5`
[2]`color(white)("XXXX")` `−2x+3y=−1`

Multiply [2] by 3
[3]`color(white)("XXXX")` `-6x+9x = -3`

Subtract [3] from [1]
[4]`color(white)("XXXX")` `y = 8`

Substitute `8` for `y` in [2]
[5]`color(white)("XXXX")` `-2x+3(8) = -1`

[6]`color(white)("XXXX")` `2x = 25`

Divide by `2`
[7]`color(white)("XXXX")` `x = 25/2`