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mash [69]
4 years ago
14

Find an ordered pair (x, y) that is a solution to the equation 4x + y = 1

Mathematics
1 answer:
Mila [183]4 years ago
5 0

Answer:

(0,1)

Step-by-step explanation:

There are infinite number of (x,y) pairs in a line, so it should be easy to use any value for one of the coordinates (x or y) and find what the other coordinate should be. We can use a simple value that would make our solving easy, for example x = 0. We use this value to replace x in the equation of the line, and solve for y:

4x+y=1\\4(0)+y=1\\0+y=1\\y=1

Therefore the pair (0,1) is a solution for the given equation.

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Ben and Alyssa play a game in which they earn the same number of points for each goal and lose the same number of points for eac
Nadya [2.5K]

Answer:

Each goal gives 5 points and a penalty costs 7 points.

Step-by-step explanation:

Let a penalty cost = x points

And a goal gives = y points

Ben makes 7 goals and 2 penalties ending the game with 21 points,

7y - 2x = 21 --------(1)

Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,

10y - 8x = -6

5y - 4x = -3 --------(2)

Equation (1) multiplied by 2, then subtracted from equation (2),

(5y - 4x) - 2(7y - 2x) = -3 - 2(21)

5y - 4x - 14y + 4x = -3 - 42

-9y = -45

y = 5

From equation (1)

7(5) - 2x = 21

35 - 2x = 21

2x = 35 - 21

2x = 14

x = 7

Therefore, each goal gives 5 points and a penalty costs 7 points.

5 0
3 years ago
jack buys a pool with 400 gallons , and it take 8 hours to fill. How many gallons were poured per hour?​
IrinaK [193]

Answer:

50 gallons per hour

Step-by-step explanation:

400/8 = 50

4 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!!!!!!!!!
lakkis [162]

Answer:

false i think? and true

Step-by-step explanation:


8 0
3 years ago
when sunayana purcased a video-game she paid Rs 162.50 as VAT at the rate of 13%. find its cost without levying VAT. Rs 1250 is
horsena [70]

Answer: 1250

Step-by-step explanation:

Let x be the cost before vat

13/100x = 162.50

x = 162.50 x 100/13

x = 162.50 / 2.13

x = 1250

3 0
4 years ago
Edwin Chargaff determined that the amount of adenine (A) is equal to the amount of thymine (T ) in a DNA sample. He also determi
andrezito [222]

Answer:

This should be a biology question. But the answer is: Complemetary strand will be  TAGCCG

Step-by-step explanation:

what would be the complementary strand of DNA for ATCGGC?

A always pairs with T and and C always pairs with G in the complementary DNA strand.

DNA sequence is                     ATCGGC

Complemetary strand will be  TAGCCG

7 0
3 years ago
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