Question

Is (2,3), a solution to the system of equation x 2 + y 2 = 13 and 2x - y = 4?

Answer 1

That is False.

Explanation:

Answer 2

No, the point
`(2,3)` is not a solution to the system of equation
`x2+y2=13` and
`2x-y=4`.

Explanation:

To make sure it is, it has to work on both equation. Plugging this into the first and second equations respectivly gives us:

`13=x2+y2=(2)2+(3)2=4+6=10`

`4=2x-y=2(2)-(3)=4-3=1`

Since
`13\\eq10` and
`4\\eq 1`, the point
`(2,3)` is not a solution to the system of equation
`x2+y2=13` and
`2x-y=4`.