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
enot [183]
3 years ago
7

Two numbers have a sum of 19 and a difference of 5. Find the two numbers

Mathematics
2 answers:
levacccp [35]3 years ago
5 0

Let "x" represent the first number and "y" represent the second number.

Set up a system of equations, solve one of the variables using any method (I will be using the elimination method), and then plug that solution into either equation to solve for the remaining variable.

x + y = 19

+ <u>x - y = 5</u>

2x = 24 <em>added the equations to eliminate "y"</em>

x = 12 <em>divided both sides by 2</em>

12 + y = 19 <em>substituted "x = 12" into the first equation</em>

y = 7 <em>subtracted 12 from both sides</em>

Answer: 12 and 7

weqwewe [10]3 years ago
3 0

So for this, we will be doing a system of equations, one equation representing the sum and the other representing the difference. Let x = larger number and y = smaller number:

x+y=19\\ x-y=5

For this, I will be using the elimination method. With these equations, add them together to get 2x=24 . From here we can solve for x.

For this, just divide both sides by 2 and your first answer is x=12

Now that we have the value of x, substitute it into either equation to solve for y:

12+y=19\\ y=7\\ \\ 12-y=5\\ -y=-7\\ y=7

In short, <u>the two numbers are 12 and 7.</u>

You might be interested in
Jessica sells 50.5 ounces of lemonade for a total of 20.20.
hoa [83]

Answer:

2.5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The local bike shop sells a bike and accessories package for $320 if the bike is worth 7 times more than the accessories,how muc
sdas [7]
So, bike=b and accessories=a.

b+a=320

Since the bike is worth 7 times more than the accessories, the b would turn into 7a (because 7 times the cost of accessories is the cost of the bike).

The equation would now turn into 7a+a=320.

Solve for a.

7a+a=320
8a=320
a=40

Now that you know the cost of the accessories, you multiply that 40
by 7 to get the cost of the bike.

40(7)
280

The cost of the bike is $280.
The cost of the accessories are/is $40.
6 0
3 years ago
Help..idk how to do algabra. i didn't pay attention..
kotegsom [21]
Start with 3 one-by-one squares. This represents the '3' in 4t+3

Then draw 4 rectangles that are vertical or horizontal. Make sure the rectangle is longer than it is wide, or vice versa. The longer side is t units long (t is just a placeholder for a number). The shorter side is 1 unit long

The longer thin rectangles have an area of 1*t = t square units. Four of them represent t+t+t+t = 4*t = 4t
The small squares have an area of 1*1 = 1. Three of them represent 1+1+1 = 1*3 = 3

This is one possible way to draw it out. See the attached drawing. 

4 0
3 years ago
How can we calculate the perimeter of an irregular shap
Nonamiya [84]
All you need to do to find the perimeter of an irregular shape is to know all the measurements of the shape and add them all together.
4 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each function with the description
LiRa [457]

Answer:

Step-by-step explanation:

i dont know the answer dud sry

6 0
3 years ago
Other questions:
  • A pet store sold a whopping amount of 15 pets in a day. The pet store sold only dogs and cats. Each dog was marketed for $150 wh
    12·1 answer
  • Order - 23, 35, and 12 from greatest to least.
    13·1 answer
  • What is the frequency of the function f(x)?
    13·1 answer
  • What is the rise of a graph if the slope is 7/-9
    11·1 answer
  • A sector of a circle has a central angle of 145°. Find the area of the sector if the radius of the circle is 4 ft. (Round your a
    14·1 answer
  • 5x^2 - 9 - 7x^2 - x + 1
    9·1 answer
  • Find an angle between 0 and 2π that is coterminal with 10pi/3
    6·1 answer
  • Number 26 please! I am rlly dumb and tired. HELP!
    14·1 answer
  • C + 5d = -13<br> 4c - 5d = 48<br> Solve the simultaneous equations<br><br> c=__<br> d=__
    10·1 answer
  • Binomial Probability Distribution. How to determine the probability of one candidate of two winning.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!