Question

How do you solve the system x=10 +5y and 2x-10y=20?

Answer 1

`x;(x-10)/5`

Explanation:

Dividing the second equation by `2` we get

`x-5y=10`
or
`x=10+5y`
this equation is identical to the first one.

Answer 2

There are many solutions because the two equations are just different forms of the same equation.

Explanation:

The equations given do not represent a system of equations because the one is just a different form of the other.

`2x-10y=20` if divided by `2` gives `x -5y =20` which is the same as `x=10+5y`

There is no single or unique for an equation which has two variables, but rather there are infinitely many solutions.

In this case, any value can be chosen for `y` and the corresponding `x` value can be determined.

A few possible solutions are:

`(10,0)" "(20,2)" "(25,3)" "(60,10)` and so on.