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iogann1982 [59]
2 years ago
9

Find the simultaneous equation x-2y=1,y^2-3xy+8=0​

Mathematics
1 answer:
Hitman42 [59]2 years ago
5 0

Answer:

  (-2.2, -1.6), (3, 1)

Step-by-step explanation:

You don't have to go far to find the equations. They are right there in your problem statement. Perhaps you want to find the solutions to the equations.

Use the first equation to write an expression for x, then substitute that into the second equation:

  x = 2y +1

  y^2 -3(2y+1)(y) +8 = 0

  -5y^2 -3y +8 = 0

  -(5y +8)(y -1) = 0

  y = -8/5   or   y = 1

The corresponding values of x are ...

  x = 2(-8/5)+1 = -11/5

  x = 2(1) +1 = 3

The solutions are (x, y) = (-2.2, -1.6) and (3, 1).

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If 94 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $1.75 and total receipts for the
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Answer:

52 adults and 42 children attended the concert

Step-by-step explanation:

Given:

Total attendees=94 people

Adults tickets=$2.5

Children tickets=$1.75

Total receipts=$203.5

Let adults=a

Children=c

a+c=94 (1)

2.5a + 1.75c=203.5 (2)

From (1)

a+c=94

a=94-c

Substitute a=94-c into (2)

2.5a + 1.75c=203.5

2.5(94-c) + 1.75c=203.5

235-2.5c+1.75c=203.5

-0.75c=203.5-235

-0.75c=-31.5

Divide both sides by -0.75

-0.75c/-0.75=-31.5/-0.75

c=42

Substitute c=42 into (1)

a+c=94

a+42=94

a=94-42

=52

a=52

Therefore,

52 adults and 42 children attended the concert

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Answer:

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Step-by-step explanation:

A product is a multiplication, such as 3 * 5, 2x, 4y.

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8 + 3x is the sum of the number 8 and the product 3x.

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