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Solnce55 [7]
2 years ago
5

Which ordered pair (x, y) is a solution to given system of linear equations?

Mathematics
2 answers:
Jet001 [13]2 years ago
7 0

Answer: (1,-2)

Step-by-step explanation:

Given : the system of linear equations :-

3x+y=1---------------(1)\\5x+y = 3---------------(2)

In order to find x and y , first we subtract equation (1) from equation (2) , we get

2x=2

Divide both sides by 2 , we get

x=1

Substitute the value of x=1 in equation (1) , we get

3(1)+y=1\\\\3+y=1

Subtract 3 from both sides , we get

y=-2

Hence, the ordered pair (x, y) is a solution to given system of linear equations = (1,-2)

Thus , the correct answer is  (1,-2) .

riadik2000 [5.3K]2 years ago
3 0

Answer:

(1, - 2 )

Step-by-step explanation:

Given the 2 equations

3x + y = 1 → (1)

5x + y = 3 → (2)

Subtracting (1) from (2) term by term eliminates the term in y, that is

(5x - 3x) + (y - y) = (3 - 1) and simplifying

2x = 2 ( divide both sides by 2 )

x = 1

Substitute x = 1 in either of the 2 equations for corresponding value of y

Using (1), then

3 + y = 1 ( subtract 3 from both sides )

y = - 2

Solution is (1, - 2 )

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I = £ 200.00

The simple interest accumulated

on a principal of £ 5,000.00

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Pls help this is confusing :/
Aleksandr [31]

The coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.

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

A transformation can be defined as the movement of a point on a cartesian coordinate from its original (initial) position to a new location.

<h3>The types of transformation.</h3>

In Geometry, there are different types of transformation and these include the following:

  • Dilation
  • Reflection
  • Rotation
  • Translation

Based on the information provided, triangle UVW would be rotated counterclockwise through an angle of 270 degree at origin to produce triangle U'V'W', we have:

\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]

Therefore, the image of triangle UVW would be given by this matrix:

\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right] \left[\begin{array}{ccc}-3&8&6\\8&4&-8\end{array}\right]

Image = \left[\begin{array}{ccc}8&4&-8\\3&-8&-6\end{array}\right]

Based on the image above, we can logically deduce that the coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.

Read more on transformations here: brainly.com/question/12518192

#SPJ1

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2 years ago
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