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salantis [7]
3 years ago
11

Which pair ordered x’y is a solution to given system of linear equations 3x+y=1 5x+y=3

Mathematics
1 answer:
ohaa [14]3 years ago
7 0

Answer:

  (1, -2)

Step-by-step explanation:

Subtracting the first equation from the second gives ...

  (5x +y) -(3x +y) = (3) -(1)

  2x = 2 . . . . . collect terms

  x = 1 . . . . . . . divide by 2

Then substituting into the first equation, we have ...

  3·1 +y = 1

  y = -2 . . . . . . subtract 3

The solution is (x, y) = (1, -2).

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The cost c (in dollars) for the fuel and maintenance of a go-cart is given by c=10x+1200, where x is the number of rides. It cos
Olin [163]

Answer: it will take 40 rides to break even.

Step-by-step explanation:

Profit = Revenue - total cost

At the point of break even, there is no profit. It means that

revenue = total cost

The cost c (in dollars) for the fuel and maintenance of a go-cart is given by

c = 10x + 1200

where x is the number of rides. It costs $40 per ride. This means that the revenue gotten from x rides is 40x.

In order to break even, it means that

40x = 10x + 1200

40x - 10x = 1200

30x = 1200

x = 1200/30

x = 40

4 0
3 years ago
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Step-by-step explanation:

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7 0
3 years ago
In the past month, Kaitlin rented 1 video game and 4 DVDs. The rental price for the video game was $2.40 The rental price for ea
vichka [17]

Answer:

$2.40 for the video game and $14.8 for the DVDs

Step-by-step explanation:

1 video game = $2.40

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6 0
3 years ago
Which is bigger 5/8 or 7/12
gladu [14]
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4 0
3 years ago
Read 2 more answers
If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(1))?
Murrr4er [49]

Answer:

f(g(1))=11

Step-by-step explanation:

So we have the two functions:

f(x)=2x+7\text{ and } g(x)=-3x+5

And we want to find f(g(1)).

So, let's find g(1) first:

g(x)=-3x+5

Substitute 1 for x:

g(1)=-3(1)+5

Simplify:

g(1)=-3+5

Add:

g(1)=2

So:

f(g(1))=f(2)

Now, substitute 2 for x in f(x):

f(x)=2x+7\\f(2)=2(2)+7

Multiply:

f(2)=4+7

Add:

f(2)=11

So:

f(g(1))=11

8 0
3 years ago
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