Question

How do you solve the system of equations `2x+3y=105` and `x+2y=65`?

Answer 1

`x` equals `15` and `y` equals `25`.

Explanation:

Set the easiest equation to `x` (the last one) and because

`x = -2y+65`

the `x` in the other equation also equals that, you can replace the `x` in the first equation with the `-2y+65`. Then simplify and solve for the `y`.

You can plug the `25` into either equation to simplify and solve for `x`.

Looks like:

`x=-2y+65`

so

`2(-2y+65)+3y=105`

`-4y+3y=105-130`

`y=25`

And

`x+2(25)=65`

`x=15`