Question

Determine whether the given ordered pair is a solution of the system.

y = 6
2x - 5y = 24
Is (2,-4) a solution of the system?

Answer 1

`(2, -4)` is not a solution.

Explanation:

The ordered pair
`(2, -4)` cannot be a solution of the system since, given the first equation of
`y=6`, the only possible value for
`y` is 6. In other words, the only possible value that makes
`y=6` true is 6.

Therefore, to figure
`x`, we substitute 6 for
`y` in the second equation and solve:

`2x-5y=24`

`2x-5(6)=24`

`2x-30=24`

`2x=54`

`x=27`

The ordered pair, then, that solves the system is
`(27,6)`.