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mixer [17]
3 years ago
8

Please help its due today and show all of your work please. I will give you brainliest if you help me do it right

Mathematics
2 answers:
devlian [24]3 years ago
5 0

Step-by-step explanation:

elimination of x:

-6x +5y = 1

6x + 4y = -10

___________+

9y = -9

y = -9/9 = -1

elimination of y:

-24x +20y = 4

30x + 20y = -50

_____________-

-54x = 54

x = 54/-54 = -1

{ -1, -1}

olya-2409 [2.1K]3 years ago
4 0

\huge{ \mathcal{  \underline{ Answer }\:  \:  ✓ }}

The given equations are :

\longrightarrow - 6x + 5y = 1

\longrightarrow6x + 4y =  - 10

let's add the equations

\longrightarrow\small{ - 6x + 5y +6x + 4y =  1  + ( - 10)}

\longrightarrow9y =  - 9

\longrightarrow y =  - 1

now, let's plug the value of y in first equation :

\longrightarrow - 6x + (5 \times  - 1) = 1

\longrightarrow - 6x  - 5 = 1

\longrightarrow - 6x = 6

\longrightarrow x =  - 1

_________________________

\mathrm{ ☠ \: TeeNForeveR \:☠ }

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Segment AB has endpoints at A(-7,2) and b(9,-6). Point P lies on AB such that AP:BP=3:1
bekas [8.4K]

The coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is  (x,y) = (5,-4)

<h3>What is the coordinate of the point which divides a line segment in a specified ratio?</h3>

Suppose that there is a line segment \overline{AB}such that a point P(x,y) lying on that line segment \overline{AB} divides the line segment  \overline{AB} in m:n, then, the coordinates of the point P is given by:

(x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)

where we have:

  • the coordinate of A is (x_1, y_1)
  • and the coordinate of B is (x_2, y_2)

We're given that:

  • Coordinate of A is (x_1, y_1) = (-7,2)
  • Coordinate of B is (x_2, y_2) = (9.-6)
  • The point P lies on AB such that AP:BP=3:1 (so m = 3, and n = 1)

Let the coordinate of P be (x,y), then we get the values of x and y as:

(x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)\\\\(x,y) = \left( \dfrac{3(9) + 1(-7)}{3+1} , \dfrac{3(-6) + 1(2)}{3+1} \right)\\\\(x,y) = \left( \dfrac{20}{4} , \dfrac{-16}{4} \right) = (5,-4)

Thus, the coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is  (x,y) = (5,-4)

Learn more about a point dividing a line segment in a ratio here:

brainly.com/question/14186383

#SPJ1

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