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
Kay [80]
3 years ago
11

Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of e

quations to find the numbers
Mathematics
1 answer:
worty [1.4K]3 years ago
3 0

Answer:

8 and 6

Step-by-step explanation:

If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.

You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.

The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.

Next, we add 10 to both sides. This gives 8x=64.

From there, we isolate the x by dividing both sides by 8, giving x=8.

To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).

This comes to y=8-2, therefore y=6.

**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!

You might be interested in
PLEASE HELP!!!!!!!!!!!!!!!!ASAP!!!!!!!!!!NOW!!!!!!!!!!RIGHT AWAY!!!!!!!!
sukhopar [10]

Answer:

(a)it is

Step-by-step explanation:

this is because ABC and SDC are both right angle triangles

8 0
2 years ago
Can you please help me<br> 0.2a2b3·(–5a3b)2
Zina [86]

5+20 this answer answer

5 0
3 years ago
Read 2 more answers
QUESTION 5 of 10: You are considering selling your home. You consult with an agent who gives you the asking prices of five homes
san4es73 [151]

Answer: $169,500

Step-by-step explanation:

The mean simply means the average price of a set of a numbers that are given. For one t calculate the mean, one has to add the numbers that are given and then divide them by the amount of numbers.

I'm the case above, the numbers given are $165,000, $188,000, $175,000, and $150,000.

Mean = ($165,000 ,+ $188,000 +$175,000 + $150,000) ÷ 4

= $678,000/4

= $169,500

3 0
3 years ago
1) Miguel has a gift card to an electronics store. He has $ 150 on the card. He purchased a DVD for $ 20 and some games for $12.
GrogVix [38]

Answer:

9 games

Step-by-step explanation:

If he purchase 1 game, he spent $12.50. If he purchased 2 games, he spent 2(12.50) = $25.

This means he spent 12.5x for x number of games.

His total spending will be 12.5x + 20. He has $17.50 left on the card from $150.

150 - (12.5x + 20) = 17.5

150 - 12.5x -20 = 17.5

130 - 12.5x = 17.5

-12.5x =  17.5 - 130

-12.5x = -112.5

x = 9

8 0
3 years ago
Mr Garland writes this expression on the board 3/4÷ 2 1/2 expression he ask his students to write a word problem that could be s
ale4655 [162]

Answer:

Answer in explanation

Step-by-step explanation:

Here, we want to write a word problem that could be solved using the expression above.

An example is below;

How many 2 1/2 kg bag of cement can be found in a total of 3/4 kg bag of cement?

4 0
3 years ago
Other questions:
  • a grocery store sells 6-pack of bottled water for $3.79 a 9 pack for $4.50 and a 12 pack for $6.89 which package costs the least
    10·1 answer
  • In a survey, adults and children were asked whether they prefer hamburgers or pizza. The survey data are shown in the frequency
    11·1 answer
  • Plz help n let me know if im correct thanks!
    10·2 answers
  • A husband and wife attend the local recreation center. The husband pays a flat rate of $125 for one year, shown as f(x). The wif
    5·2 answers
  • How do I solve this?
    15·2 answers
  • Nick walks 18,000 steps every day.
    14·2 answers
  • Use the figure below to answer the questions.
    9·1 answer
  • How much does this equation, also what is the answer <br> 8 + (-8)
    10·1 answer
  • Aaron saved $450 to buy a new gaming system and some games. The gaming system cost him $325 and each game is approximately $45.
    12·1 answer
  • The size of a computer class is limited to fifteen people. If three seats are still available, to what percent of its capacity i
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!