Chapter 8, Problem 255RE

Solve Equations using the Subtraction and Addition Properties of Equality In the following exercises, determine whether the given number is a solution o the equation.

255. x + 16 = 31, x = 15

To determine

To Calculate:

Whether $x=15$ is a solution of $x+16=31$ .

Answer to Problem 255RE

Yes, $x=15$ is the solution of $x+16=31$ .

Explanation of Solution

Given:

The equation is $x+16=31$ and the value is $x=15$ .

Consider the equation,

  $x+16=31$

Substitute $x=15$ in the above equation and solve.

That is.,

  $\begin{array}{c}15+16=31\\ 31=31\end{array}$

Since $x=15$ results in a true equation.

Hence, $x=15$ is the solution of $x+16=31$ .