What is the solution to 8=5k+3?

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Solve `8=5k+3` .

In orderto solve for k we must isolate the variable.  Therefore, we must "undo" +3 first, by subtracting 3 from both sides.

`8 - 3 = 5k + 3 - 3`

`5 = 5k + 0`

`5 = 5k`

Now we must divide both sides by 5...

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Solve `8=5k+3` .

In orderto solve for k we must isolate the variable.  Therefore, we must "undo" +3 first, by subtracting 3 from both sides.

`8 - 3 = 5k + 3 - 3`

`5 = 5k + 0`

`5 = 5k`

Now we must divide both sides by 5 to undo the multiplication of 5 to k.

`5/5 = (5k) /5`

`1 = k`

Therefore, the  solution to `8 = 5k + 3` is `k = 1` .

Check---------------

Substitute 1 for k into original equation.

`8 = 5(1) + 3`

`8 = 5 + 3`

`8=8`

Since this is true, the solution checks.

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