Chapter 1.3, Problem 18PPSE

Solution

To state: The expression $-5\left(x+2y\right)+15\left(x+2y\right)$ for the values $x=7\text{and}y=-7$ .

The resultant answer is $-70$ .

Given information:

The given expression is $-5\left(x+2y\right)+15\left(x+2y\right)$ .

Explanation:

Consider the given expression $-5\left(x+2y\right)+15\left(x+2y\right)$ :

Substitute the values of variable x and y as $7\text{and}-7$ into the given expression,

  $-5\left(7+2\left(-7\right)\right)+15\left(7+2\left(-7\right)\right)$

Multiply,

  $-5\left(7-14\right)+15\left(7-14\right)$

Perform operation within grouping symbols,

  $-5\left(-7\right)+15\left(-7\right)$

Multiply,

  $35-105$

Now add and subtract from left to right,

  $-70$

Therefore, $-70$ is the resultant value of the expression $-5\left(x+2y\right)+15\left(x+2y\right)$ .