Question

What does it mean for a value to be the solution of the equation
3x − 5 = 23?

Answer 1

If x is a solution, then, replacing the numerical value of x, then 3x-5 will be 23.

For this equation: 3x=23+5=28, the solution is x=28/3

Answer 2

Explanation:

Firstly,

For a value to be a solution for a given equation implies that, the value makes the equation true on both side of the equation

e.g 5+x=10 So, the only solution is 5, which will make the equation true.

Therefore, A solution set is the set of all variables that makes the equation true.

Now let solve the given question

3x − 5 = 23

We are looking for what will multiply by 3 and subtract 5 from it and it will give 23.

3x-5=23

Add 5 to both sides, to eliminate the constant

3x-5+5=23+5

3x=28

Now, divide both sides by 3

3x/3=28/3

x=28/3

x=9⅓ to mixed fraction

To prove x=28/3 is the solution

3x-5 = 23

3×28/3 - 5 =23

28-5 =23

23=23

Then, it is a solution to the equation