Question

Is the number given a solution of the equation? $$5 x+2=17 ; 3$$

Short answer

Yes, 3 is a solution to the equation \(5x + 2 = 17\).

Step-by-step solution

Identify the equation and given number

The given equation is \(5x + 2 = 17\) and the number to check if it's a solution is 3.

Substitute the given number into the equation

Replace \(x\) in the equation with 3: \(5*3 + 2\)

Simplify the left-hand side of the equation

Perform the multiplication and addition to simplify: \(5*3 = 15\), and add 2 to get 17.

Compare the simplified equation to the original equation

The simplified equation is \(17 = 17\), which is equivalent to the original equation, indicating that \(x = 3\) is indeed a solution.