Question

Is `x=2` a solution to the equation `3(x+3) = x + 13`?

Answer 1

Yes, it is a solution.

Explanation:

There are two ways to find out if a given number is a solution of a given equation:

• The first way i to substitute given number to the equation. In given example we get:

`3(color(red)(2)+3)=color(red)(2)+13`

`3*5=2+13`

`15=15`

Values of left and right side are equal, so number `2` is a solution of the equation.

• The second way is to find the solution and check if it is the given number:

To find a solution first we do all multiplications and next move all expressions with the unknown (in this case `x`) to the left side and all numbers to the right side.

`3(x+3)=x+13`

`3x+9=x+13`

`3x-x=13-9`

`2x=4`

`x=2`

Both ays show that `2` is the solution of the given equation.