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
Alecsey [184]
2 years ago
11

Solve: x + y = 73x - 2y = 11By using Substituting method.​

Mathematics
2 answers:
Salsk061 [2.6K]2 years ago
8 0

\large\underline{\sf{Solution-}}

\sf  \longmapsto x + y = 7 \: \: - - - (i)

\sf  \longmapsto 3x - 2y = 11 \: \: - - - (ii)

<u>By first equation,</u>

\sf  \longmapsto x + y = 7

\sf  \longmapsto x = 7 - y

<u>Now, we can find the original value of y.</u>

\sf \longmapsto 3x - 2y = 11

\sf  \longmapsto 3(7 - y) - 2y = 11

\sf  \longmapsto 21 - 3y - 2y = 11

\sf  \longmapsto 21 - 5y = 11

\sf  \longmapsto - 5y = 11 - 21

\sf  \longmapsto - 5y =  - 10

\sf  \longmapsto y = \dfrac{ - 10}{ - 5}

\sf  \longmapsto y = 2

<u>Now, we can find the original value of x.</u>

\sf  \longmapsto x + y = 7

\sf  \longmapsto x + 2 = 7

\sf  \longmapsto x = 7 - 2

\sf  \longmapsto x = 5

Therefore, the values of x and y are 5 and 2 respectively.

Ierofanga [76]2 years ago
8 0

Step-by-step explanation:

x+y=7 _____eqn(1)

3x-2y=11____ eqn(2)

Now, Multiply eqn 1 by 3

3(x+y=7)

<u>3</u><u>x</u><u>+</u><u>3</u><u>y</u><u>=</u><u>2</u><u>1</u><u> </u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u> </u><u>eqn(</u><u>3</u><u>)</u>

Adding eq 3 to eqn 2

3x+3y=21

3x-2y=11

________

0 5y=10

y= 10/5

<u> </u><u> </u><u> </u><u>y=</u><u>2</u>

put the value of y in eqn 1

x+y=7

x+2=7

x=7-2

<u>x=</u><u>5</u>

┐( ̄ヘ ̄)┌ <u>Hope</u><u> </u><u>this</u><u> is</u><u> </u><u>ryt </u><u>ans!</u><u>!</u><u>!</u>

<u>\:  \:  \:  \:  \:</u>

You might be interested in
Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to f
Angelina_Jolie [31]

Answer:

P(z>1.51) =1-P(Z

And i fwe look into the normalstandar dtable we can find the desired probability:

P(z>1.51) =1-P(Z

And then the The area to the right of z = 1.51 is 0.0655

Step-by-step explanation:

For this case we want to find the following probability:

P(z>1.51)

And for this case we can use the normal standard distribution and the complement rule and we have this:

P(z>1.51) =1-P(Z

And i fwe look into the normalstandar dtable we can find the desired probability:

P(z>1.51) =1-P(Z

And then the The area to the right of z = 1.51 is 0.0655

7 0
3 years ago
An equation is shown below:
Alex787 [66]
Multiply 4 with (2x-5)
8x-20+15=11
add 20 both sides
8x+15=31
subtract 15 both sides
8x=16
divide both sides by the x (8)
x=2
4 0
3 years ago
The Lovin' Lemon Company sells a 4-gallon jug of lemonade for $24. The Sweet and Sour company sells an eight-pack of one quart b
Helen [10]
Sweet and Sour, as 8 quarts is only 2 gallons, for more than half the price ( if they were equal) than the price if the Lovin' Lemon companies lemonade.
8 0
2 years ago
emily read 24 fiction books and 2 nonfiction books. what is the ratio of the number of fiction books she read to the total numbe
Elis [28]

Answer:

24:26 or 12:13

Step-by-step explanation:

Ratios can be better understood if you read 24:26 as: Emily read 24 fiction books for every 26 books.

The question tells us Emily read 24 fiction books and 2 nonfiction books. We know she read 24 fiction books so that is the first part of our ratio. Now, they want to know how many total books did she read. Well, she read 24 fiction and 2 nonfiction. 24+2 = 26. 26 books total! So now we have the second part of our ratio and end up with the ratio of 24:26. But now, we have to simplify it. Simplifying ratios is like simplyfing fractions. You have to find their greatest common factor. The greatest common factor of 24 and 26 is 2. Now you divide both number by their greatest common factor (2). Finally, we end up with the ratio of 12:13.

Greatest common factor help: https://www.mathsisfun.com/greatest-common-factor.html

7 0
3 years ago
the hardware store where you work charges $.80 including tax, for a pound of nails. a customer purchases 5 3/4 pounds of nails.
ahrayia [7]
.80 x 5.75 = $4.6

hope this helps
4 0
3 years ago
Other questions:
  • Can you help ASAP!!
    6·1 answer
  • Line AB contains points A (4,5) and B(9,7). What is the slope of AB
    13·2 answers
  • What is the midpoint between (-3,9) and (3,1)
    15·2 answers
  • Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. To determine
    7·2 answers
  • The value of a collector’s item is expected to increase exponentially each year. The item is purchased for $500 and its value in
    15·2 answers
  • Solve the following compound inequality: 4x + 8 15
    7·1 answer
  • Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20. If s
    8·1 answer
  • HELPPPP ASAPPPPP PLZZZ
    6·1 answer
  • 5(y+2)=4(x−3) find the slope
    6·2 answers
  • Multiplos comunes de 8y12​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!