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2 years ago

(x+y,x-2y)=(4,1), find x and y

Mathematics

2 answers:

dimulka [17.4K]2 years ago

6 0

Answer:

x = 3, y = 1

Step-by-step explanation:

Equate the x and y coordinates of the given points

x + y = 4 → (1)

x - 2y = 1 → (2)

Subtract (2) from (1) term by term to eliminate x

0 + y - (- 2y) = 4 - 1

y + 2y = 3

3y = 3 ( divide both sides by 3 )

y = 1

Substitute y = 1 into (1) for corresponding value of x

x + 1 = 4 ( subtract 1 from both sides )

x = 3

gtnhenbr [62]2 years ago

5 0

Answer:

x =3 and y =1

Step-by-step explanation:

( x+y , x-2y) = (4 , 1)

compare their corresponding elements

x+y = 4

y = 4 - x equation (i)

x-2y =1

substitute the value of x

x - 2(4 - x) =1

x - 8 + 2x =1

3x = 1 +8

x = 9/3

x = 3

Now substitute the value of x in equation (i)

y = 4 - x

y = 4 - 3

y = 1

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Bella and Heather put some money in their money boxes every week. The amount of money (y) in dollars, in their money boxes after

evablogger [386]

The question is incomplete:

Bella and Heather put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in weeks, is shown by the equations below: Bella: y = 25x + 60 Heather: y = 30x + 10 After how many weeks will Bella and Heather have the same amount of money in their money boxes, and what is that amount?

10 weeks, $10

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Answer:

10 weeks, $310

Step-by-step explanation:

As the statement indicates, you have the following equations:

y=25x+60

y=30x+10

where:

y= the amount of money