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
Tanzania [10]
3 years ago
15

Solve the system of linear equations below.

Mathematics
2 answers:
Olegator [25]3 years ago
5 0

Answer:

B. x = 2, y = 6

Step-by-step explanation:

2x + 5y = 34...(1) \\  \\ x + 2y = 14 \\  \therefore \: x = 14 - 2y...(2) \\  \\ from \: equations \: (1) \: and \: (2) \\  \\ 2(14 - 2y) + 5y = 34 \\ \therefore \: 28 - 4y + 5y = 34 \\  \therefore \: 28 + y = 34 \\ \therefore \:  y = 34 - 28 \\  \huge \red{ \boxed{\therefore \:  y = 6}} \\ substituting \: y = 6 \: in \: equation \: (2) \\ x = 14 - 2 \times 6 \\ \therefore \:  x =14 - 12 \\  \huge \purple{ \boxed{\therefore \:  x =2}} \\  \\ \huge \orange{ \boxed{ \therefore \:  x  = 2, \:  \: y = 6}} \\

yulyashka [42]3 years ago
3 0

Answer: x=2, y=6: correct answer is B

Step-by-step explanation:

2x+5y=34............(1)

x+2y=14..............(2)

Using substitution method

Make x the subject of formula in equation 2

x=14-2y................(3)

Substitute equation 3 into equation 1

2(14-2y)+5y=34

28-4y+5y=34

28+y=34

Make y the subject of the formula

y= 34-28

y=6

To find x substitute y=6 into equation 1

2x+5y=34

2x+5(6)=34

2x+30=34

2x=34-30

2x= 4

x=4/2

x=2

You might be interested in
What is 80% of 72 ? pls help due today
Leni [432]

Answer:

Step-by-step explanation:

57.6

3 0
3 years ago
Read 2 more answers
Which expression is equivalent to log w (x2-6)4
natka813 [3]
Log w (x^2-6)^4

Using log a b = log a + log b, with a=w and b=(x^-6)^4:
log w (x^2-6)^4 = log w + log (x^2-6)^4

Using in the second term log a^b = b log a, with a=x^2-6 and b=4
log w (x^2-6)^4 = log w + log (x^2-6)^4 =  log w + 4 log (x^2-6)

Then, the answer is:
log w (x^2-6)^4 = log w + 4 log (x^2-6)
7 0
4 years ago
Read 2 more answers
One positive integer is 1 less than twice another. The sum of their squares is 106. Find the integers.
neonofarm [45]
They give us 2 pieces to the puzzle.  Both are positive numbers...x and y.
1.) 1 number is 1 less than twice another number. (x = 2y -1)...and
2.) the sum of their squares is 106.  (x^2 + y^2 = 106).

 substitute the value for x into the second equation.

(2y-1)^2 + y^2 = 106
(2y-1) (2y-1) + y^2 = 106  (use distributive property)
4y^2 - 2y - 2y + 1 + y^2 = 106  (subtract 106 from both sides)
4y^2 - 2y - 2y + 1 + y^2 - 106 = 106 - 106 (combine like terms)
5y^2 - 4y - 105 = 0  (factor)
(y-5) (5y-21) = 0  (set to 0)
y - 5 = 0
y = 5 

substitute the 5 into the equation for y   (x = 2(5) - 1)
           x = 9   if we square 9, we get 81.
subtracted from 106 we have 25...the square root of 25 is 5.

our answers are 5 and 9.
8 0
4 years ago
You’re recording inventory after a big weekend sale in the travel section of a department store. There are 20 remaining suitcase
jarptica [38.1K]

Answer:

False

Step-by-step explanation:

Given that the remaining suitcases is 20

And 16 of the remainig suitcases will be further marked down, then the simplest form will be;

16/20.

5 0
4 years ago
Read 2 more answers
Greta's backyard deck cost $75.11 per square meter to build. The deck is 8 meters wide and 9 meters long. How much did it cost t
My name is Ann [436]
I don’t know but best of luck,hope you do great,have a great day
7 0
3 years ago
Other questions:
  • fourteen boys and 21 girls will be equallly divided into groups find the greatest number of groups that cannbe created if no one
    7·2 answers
  • | 18 - (-13) | <br><br><br> it’s subtracting integers
    14·1 answer
  • What causes global convection current to form
    5·1 answer
  • The cities of Singapore (in Asia) and Kigali (in Africa) both lie approximately on the equator. Singapore is at 104° longitude,
    6·1 answer
  • write a summary statement about decimal that are equivalent to fraction with denominator of 10 or 100
    15·1 answer
  • What is the length of RS.
    12·1 answer
  • Which phrase has the most positive connotation?
    11·1 answer
  • I need help asap<br> i need to know how to show work
    9·1 answer
  • A 14<br>B 8<br>C 11<br>D 20<br>I'm pose to simplify it ​
    5·2 answers
  • I don’t know how to word this question it is really hard
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!