Question

Which of the following terms can be combined in this expression? 13 minus StartFraction x over 5 EndFraction 6. 2 y 20. 5 x minus StartFraction 3 over 8 EndFraction y Negative 13 can be combined with 20. 5. 6. 2 y can be combined with 20. 5 x. 6. 2 y can be combined with Negative StartFraction 3 over 8 EndFraction y. Negative StartFraction x over 5 EndFraction can be combined with Negative StartFraction 3 over 8 EndFraction y.

Answer 1

Remember that like terms can be combined only.

Thus, for given expression, the terms which can be combined is given by:

Option C: 6.2y can be combined with -3/8y.

Given that:

• To find which terms can be combined in $-13 -\dfrac{x}{5} +6.2y +20.5x -\dfrac{3}{8}y$

Only like terms can be combined in given expression.

What are like terms?

Like terms are those terms which have same variables and their powers.

For given expression, the terms -x/5 and +20.5x have same x variable with single power.

The terms +6.25y and -3y/8 are also like terms.

Both can be combined.

The result will be:

$-13 -\dfrac{x}{5} +6.2y +20.5x -\dfrac{3}{8}y = -13 + (-\dfrac{1}{5} + 20.5)x + (6.2 -\dfrac{3}{8})y$

Since given options contains only +6.25y and -3y/8, thus:

Option C: 6.2y can be combined with -3/8y is correct.

Learn more about combining like terms here:

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