Find the sum by making a drawing. (2+3)+(5x+1)
To find the sum of (2+3)+(5x+1), we can simplify the expression one step at a time.
Step 1: Simplify the inner parentheses (2+3) and (5x+1).
(2+3) = 5
(5x+1) remains the same as it cannot be simplified further.
Step 2: Replace the simplified expressions back into the original expression.
(2+3)+(5x+1) becomes 5+(5x+1).
Now, to make a drawing to find the sum, we can represent the simplified expression visually.
1. Draw a horizontal line, representing the number 5.
2. Next to the line, draw a box labelled "5x+1".
3. Inside the box, draw five equally spaced vertical lines, representing the variable "x".
4. At the end of each line, label them with numbers starting from 1 and increasing by 1 (e.g., 1, 2, 3, 4, 5).
5. Above each number, write "5" to represent the "+5" in the expression.
Now, visually combining the horizontal line and the box, simulate combining the sum by adding the value of 5 to each line. Start from 1 and add 5 to each label: 1+5 = 6, 2+5 = 7, 3+5 = 8, 4+5 = 9, 5+5 = 10.
The final result is 5x+1 representing five lines (x=1 through x=5) increased by 5 units each: 6, 7, 8, 9, 10.
So, the sum of (2+3)+(5x+1) is 5x+1 = {6, 7, 8, 9, 10}.