Math

Question Combine terms in the expression 13x5+6.2y+20.5x38y-13-\frac{x}{5}+6.2 y+20.5 x-\frac{3}{8} y. -13 with 20.5, 62y62 y with 20.5x20.5 x, 6.2y6.2 y with 38y-\frac{3}{8} y, x5-\frac{x}{5} with 38y-\frac{3}{8} y.

Studdy Solution

STEP 1

Assumptions
1. We are given an expression: 13x5+6.2y+20.5x38y-13-\frac{x}{5}+6.2y+20.5x-\frac{3}{8}y.
2. We need to identify terms that can be combined.
3. Terms can be combined if they are like terms, meaning they have the same variable raised to the same power.

STEP 2

Identify like terms in the expression. Like terms are terms that have the same variables raised to the same power.

STEP 3

List the terms in the expression:
1. 13-13 (constant term)
2. x5-\frac{x}{5} (term with variable xx)
3. 6.2y6.2y (term with variable yy)
4. 20.5x20.5x (term with variable xx)
5. 38y-\frac{3}{8}y (term with variable yy)

STEP 4

Identify which terms are like terms that can be combined:
1. 13-13 is a constant term and does not have a variable, so it can only be combined with other constant terms.
2. x5-\frac{x}{5} and 20.5x20.5x are like terms because they both have the variable xx.
3. 6.2y6.2y and 38y-\frac{3}{8}y are like terms because they both have the variable yy.

STEP 5

Determine if the terms can be combined based on the options given:
1. 13-13 can be combined with 20.5x20.5x: This is incorrect because they are not like terms.
2. 6.2y6.2y can be combined with 20.5x20.5x: This is incorrect because they are not like terms.
3. 6.2y6.2y can be combined with 38y-\frac{3}{8}y: This is correct because they are like terms.
4. x5-\frac{x}{5} can be combined with 38y-\frac{3}{8}y: This is incorrect because they are not like terms.

STEP 6

Conclusion:
The terms that can be combined in the given expression are 6.2y6.2y and 38y-\frac{3}{8}y because they are like terms, both containing the variable yy.
The correct answer is: 6.2y6.2y can be combined with 38y-\frac{3}{8}y.

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