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Nina [5.8K]
3 years ago
6

1. Which point is a solution to this system of equations? 3х - у = 7 and 2x + 3y = 1​

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0

9514 1404 393

Answer:

  (x, y) = (2, -1)

Step-by-step explanation:

A graphing calculator can find a solution quickly. (see attached)

__

The first equation can give an expression for y:

  y = 3x -7

We can substitute this into the second equation:

  2x +3(3x -7) = 1

  11x -21 = 1 . . . . . . simplify

  11x = 22 . . . . . . . add 21

  x = 2 . . . . . . . divide by 2

  y = 3(2) -7 = -1 . . . . using our equation for y

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

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5x - 6 = -16 (Show work)
zysi [14]
  • <em>Answer:</em>

<em>x = - 2</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>5x - 6 = - 16</em>

<em>5x = - 16 + 6</em>

<em>5x = - ( 16 - 6)</em>

<em>5x = - 10</em>

<em>x = - 10 : 2</em>

<em>x = - 2</em>

<em>Good luck ! </em>

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There are 13 girls and 12 boys in the class. What is the ratio of boys to total kids in the class?
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Which are the foci of the hyperbola represented by 5y2 – 4x2 – 80 = 0?
arlik [135]

The foci of the hyperbola represented by (0, –6) and (0, 6). Then the correct option is B.

<h3>What is a hyperbola?</h3>

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

The equation of the parabola is given below.

5y² – 4x² – 80 = 0

Then the equation can be written as

y² / 4 – x² / 5 – 4 = 0

  y² / 16 – x² / 20 = 1

Then the value of eccentricity will be

a² = 16 and b² = 20

Then we have

e = √[1 + (b² / a²)]

e = √[1 + (20 / 16)]

e = 1.5

Then the focus of the parabola will be

⇒ (0, ±ae)

⇒ (0, ± 4 x 1.5)

⇒ (0, ±6)

⇒ (0, –6) and (0, 6)

Then the correct option is B.

More about the hyperbola link is given below.

brainly.com/question/12919612

#SPJ1

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