Chapter 8.3, Problem 8MRE

To determine

To calculate: The simplified form of $5\left(x+2y\right)$ ,

where $x=2,y=1,a=-3,b=4$ .

Answer to Problem 8MRE

The simplified form of $5\left(x+2y\right)$ is $20$ .

Explanation of Solution

Given information:

The statement “ $5\left(x+2y\right)$ .”

Formula used:

When two or more functions are in the form of fraction then Put the value of $x,y$ with different denominators are added or subtracted,Then solve the expression.

When two or more functions are in the form:

  $\begin{array}{l}a\left(b-c\right)=a\\ ab-ac=a\end{array}$

First open the brackets and then by equating the coefficients solve the equation.

Consider the provided statement “ $5\left(x+2y\right)$ .”

Recall thatWhen two or more functions are in the form of fraction then Put the value of $x,y$ with different denominators are added or subtracted,Then solve the expression.

When two or more functions are in the form:

  $\begin{array}{l}a\left(b-c\right)=a\\ ab-ac=a\end{array}$

First open the brackets and then by equating the coefficients solve the equation.

So, the given expression can be simplified as,

  $5\left(x+2y\right)$

Put the values of $x=2,y=1,a=-3,b=4$ as given in the question,

Observe that on the equation no $a,b$ variables found, so put the value of $x,y$ only in the function ,

Rewrite the expression:

  $5\left(x+2y\right)=5x+10y$ .

Now put the value of $x,y$ .

  $\begin{array}{c}5\left(x+2y\right)=5\cdot 2+10\cdot 1\\ =10+10\\ =20\end{array}$

Since, $20$ cannot be simplified further,

Hence, the simplified form of $5\left(x+2y\right)$ is $20$ .