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
Flura [38]
3 years ago
15

The sum of two numbers is 3, and twice the larger number is 36 more than three times the smaller number. Find the numbers.

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0

Answer:

x = -6

y = 9

Step-by-step explanation:

The sum of two numbers is 3

x + y = 3

twice the larger number is 36 more than three times the smaller number

2y = 3x + 36

Divide both sides by 2

y = 1.5x + 18

substitute for y in the first equation

x + (1.5x + 18) = 3

2.5x = -15

divide both sides by 2.5

x = -6

Substitute for x in the first equation

-6 + y = 3

y = 9

You might be interested in
Which equation describes a line with a slope of -8 and includes the point (-4, 7)?
timurjin [86]
Such an equation would be y + 8x = - 25 (standard form) OR y = -8x - 25 (y-intercept form)
 
Deriving The Answer:

By using the point-slope form of the equation of a line, by knowing the gradient of that line and a point on that line, the equation of this line can be derived.

Now, the point-slope form exists as y - y₁ = m ( x - x₁)

since slope = -8 and the point on the line = (-4 , 7)

Then m = - 8
          x₁ = - 4
          y₁ =  7
                              ⇒  y - 7 = -8 ( x - (-4))

                              ⇒ y - 7 = -8x - 32

                              ⇒ y + 8x = - 25
                   


3 0
3 years ago
what is the height of a rectangular prism that has a width of 5m, a length of 6m, and a volume of 270 m squared
Rainbow [258]

Answer:

9

Step-by-step explanation:

volume of rectangle is length x width x height. inverse operations makes it 5 times 6 = 30. 270 divided by 30 is 9. hope this helped! :))

8 0
3 years ago
Write the equation of the line given a slope of 0 through the point (5, -7)
Gennadij [26K]
A line with a slope of 0 is a horizontal line
so the equation would be y=-7
8 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST TO THE FIRST PERSON!A spinner has 8 equal-sized sections. The probability that the spinner will stop abov
FromTheMoon [43]
The chances of it spinning on blue is likely

3 0
3 years ago
Read 2 more answers
hunter finishes 45% of his homework problems in 36 minutes. If he has 11 problems left to complete, how many has he already fini
Inessa [10]
32he nwwwds t be rn three 32 is then answer
5 0
3 years ago
Other questions:
  • Colin maxed out his credit card at $4,000
    14·2 answers
  • PLEASE ANSWER THIS, ASAP. PLEASE, LOOK AT THE PICTURE, AND PLEASE SOLVE IT RIGHT. PLEASE.
    15·1 answer
  • 78 Solve for x, with variables on both sides of equation. (Note: x is the same thing as 1x) You must show your work!
    5·1 answer
  • Can someone solve z=8+6x-px for x
    8·1 answer
  • town A has 95364 children out of which 43336 are girls. Town b has 100005 children out of which 53495 are boys find the number o
    8·1 answer
  • Vetong Division toget the quotient factor<br> (x² - 12x +35) = (x-7)
    6·1 answer
  • 1. Phil, Steve, and Esther are aged 19 - 22, and none of them is the same age. Phil's age is an even
    11·1 answer
  • Bike rental company A charges an initial fee of $8 plus $1.25 for every hour spent biking. Bike rental company B charges $2.75 f
    13·1 answer
  • Whats 10 times 5 in the united states of america
    11·2 answers
  • What value of m makes the equation true? -3m = - 12​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!