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Nina [5.8K]
1 year ago
6

Is 5xy and -8xy similiar explain why

Mathematics
1 answer:
user100 [1]1 year ago
3 0

The given algebraic expressions 5xy and -8xy are like terms because of the similarity in their variable and it's power.

As per the question statement, we are given algebraic expressions 5xy and -8xy and we are supposed to tell whether these two terms are like or not.

We know that in Algebra, the phrases or terms that include the same variable and are raised to the same power are referred to as "like terms."

Hence as the variable part in the expressions, 5xy and -8xy, are same hence they can be added and subtracted hence are called like terms.

  • Algebraic expressions: An expression which is constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)
  • Like terms: The definition of similar words is the terms that have the same variable raised to the same power. Only the numerical coefficients can alter in terms that are similar to algebra. We may combine similar words to make algebraic expressions simpler, making it much simpler to determine the expression's outcome.

To learn more about algebra, click on the link given below:

brainly.com/question/24875240

#SPJ1

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Given the following system of equations: 2x + 6y = 12 4x + 3y = 15 Which action creates an equivalent system that will eliminate
Charra [1.4K]

Option A and B are correct.

Step-by-step explanation:

We are given the following systems of equation:

2x + 6y = 12 \\4x + 3y = 15

We need to identify the action creates an equivalent system that will eliminate one variable when they are combined.

Checking the options:

a) Multiply the second equation by −2 to get −8x − 6y = −30

If we add equation(1) and the new equation(2) the variable y will be eliminated. So, this is the correct option.

b)  Multiply the first equation by 2 to get 4x + 12y = 24.

If we subtract new equation(1) and equation(2), the variable x will be eliminated. So, this is the correct option.

c) Multiply the second equation by −4 to get −16x − 12y = −60

By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.

d) Multiply the first equation by −4 to get −8x − 24y = −48.

By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.

So, Option A and B are correct.

Keywords: Solve System of equations

Learn more about solving system of equations at:

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