Question

Draw a model or use numbers to solve the equation 3+x=
11. What is the solution?

Answer 1

The solution of the equation
`3 + x = 11` is
`x = 8`.

Explanation:

Let
`3 + x = 11`, we see that number of equation and variables are both the same and can be solved by algebraic means.

1)
`3 + x = 11` Given

2)
`x + 3 = 11` Commutative property

3)
`x + [3+(-3)] = 11 + (-3)` Compatibility with addition/Associative property

4)
`x = 8` Additive inverse/Modulative property/Definition of substraction/Result

The solution of the equation
`3 + x = 11` is
`x = 8`.