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
Crazy boy [7]
3 years ago
13

The sum of two numbers is 17, and their difference is 29. What are the two numbers?

Mathematics
2 answers:
serious [3.7K]3 years ago
6 0
X + y = 17
x - y = 29

x = 17 - y
x - y = 29

x = 17 - y
17 - y - y = 29

x = 17 - y
17 - 2y = 29

x = 17 - y 
- 2y = 29 - 17

x = 17 - y
-2y = 12

x = 17 - y 
y = -6

x = 17 - (-6)
y = -6

x = 17 + 6
y = -6

x = 23
y = -6

leva [86]3 years ago
3 0
X + y = 17
x - y = 29

We're going to do substitution.

1. We first put one of these in terms of x or y. Either are fine, but I'm going to do x, and any of the equations are fine, but I'm going to do the first one.

x + y = 17 >> x = -y + 17

2. We plug in this x-value into the other equation, and solve for the variable.

(-y+17) - y = 29
-2y + 17 = 29
-2y = 12
y = -6

3. We now plug the variable we found (y in this case) into the first equation to find the other variable (x).

x + -6 = 17 >> x = 23



In conclusion, the two numbers are 23 and -6.
You might be interested in
Find the value of x in the triangle shown below.<br> 1<br> 13<br> 2<br> 12<br> Choose 1 answers
DedPeter [7]

Answer:

x = 5

Step-by-step explanation:

a² + b² = c²

x² + 12² = 13²

x² + 144 = 169

x² = 169 - 144

x² = 25

\sqrt{x^2} =\sqrt{25}

x = 5

3 0
3 years ago
Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and rem
True [87]

Answer:

3/5

Step-by-step explanation:

We want to find the fraction of the original branch that remains, so we will assume a length of the branch in order to make our calculation easier.

Since Kim marks it off in thirds and fifths, let's find the least common multiple of 3 & 5.

Least common multiple of 3 & 5 is 15.

Thus,let's make the length of the branch to be 15-meter long.

Now, if the branch is 15 m long, considering the markings of thirds and fifths, the branch would be cut at:

3, 5, 6, 9, 10, 12 meters.

We are told that She then breaks the branch along all the markings and removes one piece of every distinct length. Thus;

Distinct lengths are;

3 metres

5 - 3 = 2 metres

10 - 9 = 1 meter

Total she removes = 3 + 2 + 1 = 6 meters.

Total remaining is;

15 - 6 = 9 meters

Expressing this as a fraction of the original branch gives:

9/15

Divide both numerator and denominator by 3 to get; 3/5

7 0
2 years ago
The amount of money in a bank account with an initial balance of $15,000 earns 3% per year. In the exponential model of the form
oksian1 [2.3K]
1.03=b this makes sense because it increases 3 percent so you add 1 to .03

8 0
3 years ago
Read 2 more answers
Choose the correct simplification of (4x3 + 3x2 − 6x) − (10x3 + 3x2).
Ray Of Light [21]
Answer:
-6x (x + 1)(x - 1)

Explanation:
Before we begin, remember the following:
(-ve) * (-ve) = +ve
(-ve) * (+ve) = -ve
(+ve) * (+ve) = +ve
(+ve) * (-ve) = -ve
a² - b² = (a + b)(a - b)

Now, for the given:
(4x³ + 3x² - 6x) - (10x³ + 3x²)
First, we eill remove the brackets based on the rules mentioned above. This will give us:
4x³ + 3x² - 6x - 10x³ - 3x²
Now, we will combine like terms as follows:
(4-10)x³ + (3-3)x² - 6x
-6x³ - 6x
Taking -6x as a common factor:
-6x (x² - 1)
Factoring the bracket as difference between two squares will give us the final simplest form:
-6x (x + 1)(x - 1)

Hope this helps :)
7 0
3 years ago
Read 2 more answers
Tell whether x and y show direct variation. Explain your reasoning. y−x=0
Jlenok [28]

Answer:

yes

Step-by-step explanation:

Direct variation is represented as

y = kx, where k is a constant.  

We can rewrite y - x = 0 as

    y = x   (add x to both sides)

This can be looked at as

  y = (1)x     , so this is a direct variation relationship where k = 1

7 0
3 years ago
Other questions:
  • What is the area of an equilateral triangle that has 2 yards and a height of 4.25 ft?
    15·1 answer
  • Select all that apply.
    15·2 answers
  • Explain how you would round the number 33 and 89 to estimate their sum
    8·1 answer
  • A polynomial function has a root of –6 with multiplicity 1, a root of –2 with multiplicity 3, a root of 0 with multiplicity 2, a
    9·2 answers
  • Write a function rule for the table days/cost to rent a truck
    10·2 answers
  • A map measuring 60 cm by 25 cm is reduced twice in the ratio 3:5. Calculate the final dimensions of the map.
    12·1 answer
  • A line passes through point (-6, -8) and has a slope of
    9·1 answer
  • Plz help me with this
    15·2 answers
  • If you ask the first 50 females who enter a restaurant to complete a survey about their experience, who is the sample?
    11·2 answers
  • Ronald Dairo is helping the local indus-
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!