To check if an ordered pair `(x,y)` is a solution of a linear equation, you need to plug-in the values of `x` and `y` on the equations, and check if results as a true statement.

For the first equation `-6x + y = -32,` replace `x` by `6` and replace `y` by `4` .

`-6(6)+4 ? -32`

`-36 + 4 ? -32`

`-32 = -32`

It is true that `-32` is equal to `-32` , so `(6,4)` lies on the line corresponds to`-6x+y=-32`.

For the second equation `x + y = 10` , replace x by `6` and replace y by `4` .

`6 + 4 ? 10`

`10 = 10`

It is true that `10 = 10` , therefore `(6,4)` lies on the line corresponds to `x + y = 10` .

Therefore `(6,4)` is a solution of the system.

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