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
Snowcat [4.5K]
2 years ago
15

2x + y = 10 2x - y = 6

Mathematics
2 answers:
aniked [119]2 years ago
8 0

Answer:

x = 4 y = 2

Step-by-step explanation:

2x + y = 10

2x4 = 8

8 + 2 = 10

2x - y = 6

2x4 = 8

8 - 2 = 6

snow_lady [41]2 years ago
7 0

Answer:

Step-by-step explanation:

2x + y = 10......(1)

2x - y = 6........(2)

Substracting (2) from (1)

2x - 2x + y - (-y) = 10 - 6

y + y = 4

2y = 4

Dividing through by 2

y = 4/2

y = 2

Substitute y = 2 in (2)

2x -y = 6

2x - 2 = 6

Collecting like terms

2x = 6 + 2

2x = 8

Dividing by 2

x = 8/2

x = 4

You might be interested in
Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220
Doss [256]

Answer:

1,000 km

Step-by-step explanation:

Assume that when two train pass each other, Lian has traveled x (km)

=> The time Lian has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = x/ 250 (hour)</em>

As Lian and Yuto travelled from the two opposite train stations and the train stations are 1,880 km apart

=> When two train pass each other, Yuto has traveled 1,880 - x (km)

=> The time Yuto has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = (1,880 - x)/220 (hour)</em>

As Lian and Yuto board at the same time, so that when two trains pass each other, the time both of them have traveled is equal

=> <em>x/ 250 = (1,880 - x)/220</em>

<em>=> 220x = 250 x (1,880 -x) </em>

<em>=> 220x = 470,000 - 250x</em>

<em>=> 470x = 470,000</em>

<em>=> x = 1,000</em>

<em />

<em>So that, </em>when two train pass each other, Lian has traveled x = 1,000 km

<em> </em>

6 0
3 years ago
Read 2 more answers
Is the binomial a factor of the polynomial function?
olchik [2.2K]

Answer:

YES

NO

NO

Step-by-step explanation:

The given polynomial is: $ f(x) =  x^3 + 4x^2 - 25x - 100 $

(x - a) is a factor of a polynomial iff x = a is a solution to the polynomial.

To check if (x - 5) is a factor of the polynomial f(x), we substitute x = 5 and check if it satisfies the equation.

∴ f(5) = 5³ + 4(5)² - 25(5) - 100

        = 125 + 100 - 125 - 100

        = 225 - 225

        = 0

We see, x = 5 satisfies f(x). So, (x - 5) is a factor to the polynomial.

Now, to check (x + 2) is a factor.

i.e., to check x = - 2 satisfies f(x) or not.

f(-2) = (-2)³ + 4(-2)² - 25(-2) - 100

      = -8 + 16 + 50 - 100

     = -108 + 66

     ≠ 0

Therefore, (x  + 2) is not a factor of f(x).

To check (x - 4) is a factor.

∴ f(4) = 4³ + 4(4)² - 25(4) - 100

        = 64 + 64 - 100 - 100

        = 128 - 200

        ≠ 0

Therefore, (x - 4) is not a factor of f(x).

7 0
3 years ago
How many 2/3 pounds are in a sixth of a pound?
mote1985 [20]
None. ⅔ is greater than 1/6 but ⅔ equals 2 x (1/6).
Basically one half of ⅔ equals 1/6
6 0
3 years ago
WHAT IS 18 TONS 42 POUNDS DEVIDED BY 3
Alecsey [184]

A ton is 2,000 pounds so multiply 2,000 x 18

2,000 x 18 =  36,000 pounds, now add the 42 pounds to the 36,000

36,000 + 42 = 36,042 pounds. Now divide 36,042 by 3

36,042 ÷ 3 = 12,014

Your answer is 12,014 pounds

If you need your answer in tons it's 6.007 tons

Calculations for pounds to tons

12,014 ÷ 2,000 = 6.007

Hope this helps. :)


4 0
3 years ago
Read 2 more answers
In its prime, Mr. Ford’s 2002 Focus would get 36
stepan [7]

Answer:

The fuel economy is 36 miles per gallon. For each mile 1/36 gallon will be used.

Initial volume is 13,2 gallons and x is the number of miles.

<u>Our equation is:</u>

  • y = 13.2 - 1/36x

or

  • y = -1/36x + 13.2
4 0
2 years ago
Read 2 more answers
Other questions:
  • 18x^2+69x+60 Factor the expression
    15·1 answer
  • Please refer to the graph to answer this question. At $50 per pair of shoes, consumers demand _____ than you supply.
    7·2 answers
  • Help please!!!<br><br> If 3/7 m= 7/3 n, then what is the value of m/n ?
    5·2 answers
  • PLease help hurrryyyyyyyyyyyyyyy
    9·1 answer
  • Given only the information in the diagram, determine if m is parallel to n. If so, name the postulate or theorem used to support
    7·1 answer
  • I need help with #24 please :)
    12·1 answer
  • Find the distance between these points: (-3, 8) and (-5,1)
    5·1 answer
  • A car dealer paid a certain price for a car and marked it up byt 7/5 of the price he paid. Later he sold it for 24000. What is t
    8·1 answer
  • Acceleration is sometimes expressed in multiples of g, where is the acceleration of an object due to the earth's gravity. In a c
    6·1 answer
  • Which statements are true about the rectangular pyramid below? Select three options.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!