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
Dovator [93]
3 years ago
11

A student solves the equation StartFraction x + 3 Over 2 EndFraction = StartFraction 3 x + 5 Over 5 EndFraction using the steps

in the table.
Original equation
StartFraction x + 3 Over 2 EndFraction = StartFraction 3 x + 5 Over 5 EndFraction
Cross multiplication
5 (x + 3) = 2 (3x + 5)
Distributive property
5 x + 15 = 2 (3 x + 5)
Subtraction property of equality
5 = x

Which method of solving for the variable could be used instead of cross multiplication?
distributing x + 3 and then 3x + 5 to both sides of the equation
distributing x – 3 and then 3x – 5 to both sides of the equation
using the multiplication property of equality to multiply both sides of the equation by 10
using the multiplication property of equality to multiply both sides of the equation by One-tenth
Mathematics
1 answer:
bonufazy [111]3 years ago
7 0

using the multiplication property of equality to multiply both sides of the equation by 10

Step-by-step explanation:

Given equation is:

\frac{x+3}{2} = \frac{3x+5}{5}

One method to solve this equation is cross-multiplication which the student has used.

One of the alternate method can be multiplying both sides by the LCM of numerators of fractions on both sides

So multiplying both sides by 10 (multiplication property of equality)

\frac{x+3}{2} * 10 = \frac{3x+5}{5} * 10\\5(x+3) = 2(3x+5)\\5x+15 = 6x+10\\5x+15-10 = 6x\\6x = 5x+5\\6x-5x = 5\\x = 5

The alternate method of LCM produces the same answer so the correct answer is:

using the multiplication property of equality to multiply both sides of the equation by 10

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/11229113
  • brainly.com/question/11234838

#LearnwithBrainly

You might be interested in
What is y=4(a)+b <br> When a=7 and b=2<br> What is a and b
Blizzard [7]

Answer: You have awnsered a & b, but when you fill out the equation, you get y=30.

Step-by-step explanation:

* y= 4(7) + 2

* y= 28 + 2

* y= 30

5 0
2 years ago
Please help me with this!!!
RSB [31]
The answer that you have is most likely right, since the grouping did not change.
4 0
3 years ago
01.01 LC)Which number line best shows how to solve −2 − ( −6)?
liraira [26]

Answer:

-6 - (-8) = 2.

Your number line might have a bubble at 2. Or it may show movement 8 units to the right of -6. Whatever it is, you should end up at the value of 2.

Step-by-step explanation:

4 0
3 years ago
Find the mean of the set of data. Use a calculator if necessary.
dangina [55]

Answer:

7

Step-by-step explanation:

mean is average of the numbers

add all values then divide by the numbers

(1+5+8+10+11) / 5

35 / 5 = 7

5 0
3 years ago
Read 2 more answers
One more question, sorry can someone please help?​
CaHeK987 [17]

Answer:B

Step-by-step explanation:

Honestly when I did the math I got closest to b so I think it's B hope his helps

8 0
2 years ago
Other questions:
  • Please help me with questions 5&amp;6!!!
    5·1 answer
  • You are a member of your local movie theater’s club. Every time you see a movie at the theater, you earn 2 advantage points. Whe
    5·1 answer
  • the length of the rectangular garden is three feet less than twice its width. if the perimeter is 42 feet, what is its length?
    10·1 answer
  • Say a certain service industry has 78.9 thousand jobs in 2003, but expects to increase at an average annual rate of 2.65 thousan
    7·2 answers
  • A=1000 (1+0.06/4)^4x1
    13·1 answer
  • Find the product: (x² - x + 1)(2x² + 3x + 2).
    14·1 answer
  • Find the simple interest earned to the nearest cent for each principal, interest rate, and time. $300, 5%, 2 years
    9·1 answer
  • Pls help me in this one
    5·2 answers
  • Si a la mitad de un número le restas su tercera parte, y, a este resultado, le sumas 85/2,
    14·1 answer
  • Solve the system of equations y=2x+7<br> y=5x-7<br> x= <br> Y=
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!