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
Lana71 [14]
3 years ago
11

The sum of two numbers is 21. The larger number is 6 less than twice the smaller number. Find the two numbers.

Mathematics
1 answer:
never [62]3 years ago
5 0
The sum of two numbers
 x + y = 21
x = smaller number
y = larger number

Larger Number = y = (2x -6)
Substitute  (2x - 6) for y
x + y = 21
x + (2x - 6) = 21
3x - 6 = 21
3x = 21 + 6
3x = 27
3x / 3 = 27 / 3
x =  9
Smaller number = x = 9
Find the larger number by inserting 9 into (2x - 6)
(2x - 6)
(2(9) - 6)
18 - 6
12

So 
x = 9
y =12

Check our answer by inserting x = 9 and y = 12 into  x + y = 21
x + y =21
9 + 12 = 21
21 = 21 
So since we have 21 = 21 we know our answer is correct. 
You might be interested in
Choose the answer that makes the sentence true. (Blank) real numbers are integers. A. All B. Some C. No
zvonat [6]

Answer:

Some real numbers are integer

Step-by-step explanation:

Real numbers ;

  1. Natural numbers (counting numbers) = Integer
  2. Whole numbers = Integers
  3. Integers =Integers
  4. Rational numbers (fractions , repeating or terminating decimals) = Fraction and decimal are not integers
  5. Irrational numbers. = Not integer
4 0
3 years ago
Read 2 more answers
PLEASE HELPPP!!!!!! Write an equation of the line passing through point P that is perpendicular to the given line.
ArbitrLikvidat [17]

Answer:(d): y=ax+b (a≠0); (d1)y=-4x+13

because of (d)⊥(d1) --> a.(-4)=-1 --> a=\frac{1}{4}

(d): y=\frac{1}{4}x+b. (d) pass through  P(-1;-2) so we have

-2=(1/4).(-1)+b ---> b=\frac{-7}{4}

(d) y= \frac{1}{4}x+ \frac{-7}{4}

4 0
3 years ago
Solution of this equation
lara31 [8.8K]
2.5y + 3x = 27
5x - 2.5y = 5

Align the variables to make solving this easier.

2.5y + 3x = 27
-2.5y + 5x = 5

You can see that the 2.5y and -2.5y cancel each other out. Then add the 3x and 5x, and 27 + 5.

3x = 27
5x = 5

8x = 32

Divide both sides by 8.

x = 4

Now input that x into one of the equations to get y. 

2.5y + 3(4) = 27
2.5y + 12 = 27
2.5y = 15
y = 6

The answer to this system of equations is x = 4, y = 6. (4, 6)
5 0
3 years ago
In which of these numbers does the digit 4 represent 4/100
Tpy6a [65]
D
The first place after the decimal represents the tenths place, the second place represents the 100ths place and so on.
8 0
3 years ago
What is the answer to <br> 4(5x+6)
AysviL [449]
By distributing the 4 onto the 5x and the 6, you would end up with 20x + 24.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the following equation<br>1) 2c + c + 12 = 78​
    5·1 answer
  • What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ? y+1=87(x+4) y+4=98(x+1)
    13·2 answers
  • What is 10 x 6 please answer assap
    5·1 answer
  • PLEASE ANSWER AND EXPLAIN 99 POINTS [URGENT]
    5·2 answers
  • Y=x + 6 solve the system of equations using subtraction
    11·1 answer
  • What wire is bigger bigger .33 or .275
    12·2 answers
  • WOODLL PUNTO. CU
    9·2 answers
  • Determine if the following triangle is a right Triangle. Write your answer, claim, as a
    14·1 answer
  • 7 x e x f x 8<br> please can someone explain
    9·1 answer
  • Solve<br> 3x^2= 147<br> x=<br> X=
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!