1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dybincka [34]
3 years ago
8

Determine whether each expression is equivalent to

Mathematics
1 answer:
larisa [96]3 years ago
5 0

The algebraic expressions, x + x + y + y + y + y - 5 + x + x + x + 8 - 4y and 5x + 3 are equivalent to 2x + 4y - 5 + 3x + 8 - 4y

To determine whether each expression is equivalent to 2x + 4y - 5 + 3x + 8 - 4y, apply the knowledge of algebra to solve each of the following in it's simplest form.

First, simplify 2x + 4y - 5 + 3x + 8 - 4y as follows:

Add like terms

2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y - 5 + 8\\5x + 3

Next, compare or simplify where necessary each of the given algebraic expressions with 5x + 3

<em><u>First Option</u></em>

x + x + y + y + y + y - 5 + x + x + x + 8 - 4y

Add like terms together

2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y -5+8\\5x + 3

Therefore, x + x + y + y + y + y - 5 + x + x + x + 8 - 4y is equivalent to 2x + 4y - 5 + 3x + 8 - 4y

  • <em><u>Check the box for </u></em><em><u>YES.</u></em>

<u><em>Second Option:</em></u>

<u><em /></u>6xy + 3 - 4y<em> (cannot be simplified further)</em>

<em />6xy + 3 - 4y\neq 2x + 4y - 5 + 3x + 8 - 4y<em />

Therefore:

  • <em><u>Leave the box BLANK for </u></em><em><u>NO.</u></em>

<em><u /></em>

<em><u>Third Option:</u></em>

<em><u /></em>-8y + 5x - 3<em><u> </u></em><em>(cannot be simplified further)</em>

<em />-8y + 5x - 3 \neq  2x + 4y -5 + 3x + 8 - 4y<em />

Therefore:

  • <em><u>Leave the box BLANK for </u></em><em><u>NO.</u></em>

<em><u /></em>

<u><em>Fourth Option:</em></u>

<u><em /></u>5x + 3<u><em /></u>

<u><em /></u>5x + 3 = 2x + 4y - 5 + 3x + 8 - 4y<u><em /></u>

Therefore:

  • <em><u>Check the box for </u></em><em><u>YES.</u></em>

<em><u></u></em>

Thus, the algebraic expressions that are equivalent to  2x + 4y - 5 + 3x + 8 - 4y are:

  • x + x + y + y + y + y - 5 + x + x + x + 8 - 4y
  • 5x + 3

Learn more about algebraic expressions here:

brainly.com/question/15122459

You might be interested in
If AD is an altitude of triangle ABC, then angle ABC is:
alexira [117]
<ADB = 90 degrees

hope it helps
7 0
3 years ago
HELP<br> Find the least common denominator (LCD) of eight ninths and 1 and one third.
Ludmilka [50]

9 is the LCD of 8/9 and 1/3. please mark thanks!

3 0
3 years ago
Read 2 more answers
Evaluate 80 - 5( 2 + 7 ) + 15
Maru [420]

Answer:

50

Step-by-step explanation:

im smart

5 0
3 years ago
Read 2 more answers
Two positive integers have a sum of 23 and a product of 126. Find the two numbers.
meriva

Answer:

SUBTRACT

Step-by-step explanation:

6 0
3 years ago
Help Find AB please explain
agasfer [191]

Answer:

AB=2\sqrt{29}

Step-by-step explanation:

Hope it helps you in your learning process.

7 0
3 years ago
Other questions:
  • 400 hundred thousand 13 thousand 11 hundreds and 4 ones in standard form
    12·2 answers
  • A wood frame costs $1.50. Use a property to write an equivalent expression for the cost of a wood frame.
    15·1 answer
  • Find the value of f(9) and g(-9) if f(×) = -7×-9 and g(×) = 6×3-23×
    13·1 answer
  • I haven't Learned this yet
    14·1 answer
  • Brainliest if correct
    10·1 answer
  • An airplane is change in alitude before landing is shown in the table
    11·1 answer
  • HELP IN THIS QUESTION
    5·2 answers
  • Last year, 120 students were sick at school. This year, 20% fewer students are sick. How many students are sick this year?
    12·1 answer
  • In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that lines
    5·1 answer
  • If(√14/√7-2)-(√14/√7+2)=a√7+b√2 find the values of a and b where a and b are rational numbers​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!