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
Pavel [41]
2 years ago
15

An integer is 5 more than 4 times another. If the product of the two integers is 51, then find the integers.

Mathematics
1 answer:
Yakvenalex [24]2 years ago
7 0

Answer:

  • <u>3 </u><u>and</u><u> 17</u> are required integers

Step-by-step explanation:

  • Let one integer be x
  • And other integer be y

x = 4y + 5

xy = 51

<u>According to </u><u>question </u><u>:</u>

➞ (4y + 5)y = 51

➞ 4y² + 5y = 51

➞ 4y² + 5y - 51 = 0

➞ 4y² + 17y - 12y - 51 = 0

➞ y (4y + 17) - 3(4y + 17) = 0

➞ (y - 3)(4y - 17) = 0

➞ y - 3 = 0

➞ <u>y = 3</u>

Hence,

➞ <u>y = 3</u>

➞ x = 4y + 5

➞ x = 4 (3) + 5

➞ x = 12 + 5

➞<u> </u><u>x = 17</u>

∴ The required integers are <u>3 and 17</u>

You might be interested in
Simplify expression <br> -6-2(3x+8)
KIM [24]

Answer:

-6x-22

Step-by-step explanation:

-6 -2 (3x + 8)

Distribute the 2.

-6 -6x -16

Rewrite the expression.

-6x -6 - 16

Subtract -6 from 16.

The answer is -6x-22

5 0
3 years ago
{ x + y = 158<br> x- y = 112
ZanzabumX [31]

Answer:

i have know

Step-by-step explanation:

3 0
2 years ago
Select three expressions equivalent to -3/4
Daniel [21]

Answer:

0.75 as a decimal for -3/4

I hope this helps

5 0
3 years ago
Joseph earns $15 for every law he mows. Is the amount of money he earns professional to the number of launch he mows? Make a tab
yKpoI14uk [10]

launch?

I need this written better to understand.

3 0
3 years ago
2.25k - 20 = 6.5k + 14<br><br><br> plsssssssssssss
Pani-rosa [81]

Answer:

k=-8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

3 0
3 years ago
Read 2 more answers
Other questions:
  • (01.03) Kenya is reserving a room in a hotel in France where they use euros (€). The room charge is €75. Suppose the conversion
    14·1 answer
  • 1. What operations would you use in order to solve 3x – 4 = 26. Please write the operations in the order you would use them.
    7·2 answers
  • The coordinate plane below represents a community. Points A through F are houses in the community. graph of coordinate plane. Po
    5·1 answer
  • Which are the coordinates of the vertices of a triangle congruent to ΔPQR?
    15·2 answers
  • Could a reflection followed by a rotation ever be described as a single rotation?
    11·1 answer
  • Simplify (a^2)*(a^7)*(b^3)
    7·1 answer
  • You have decided to start your own business selling friendship bracelets. It will
    9·2 answers
  • Câu 1: Cho tam giác MNP cân tại P thì:
    14·1 answer
  • (5-×)(×-3)<br><img src="https://tex.z-dn.net/?f=%285%20-%20x%29%28x%20-%203%29" id="TexFormula1" title="(5 - x)(x - 3)" alt="(5
    5·1 answer
  • What percentage of the shape is purple?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!