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3 years ago

7

Help pleeeaase

2 answers:

Vera_Pavlovna [14]3 years ago

7 0

5x + 2y = 16 ⇒ 5x + 2y = 16
x + 3y = 12 ⇒ <u>5x + 15y = 180</u>
      <u>-13y</u> = <u>-164</u>
       -13 -13
   y = 12 8/13
       5x + 2(12 8/13) = 16
   5x + 25 3/13 = 16
   <u>    -25 3/13   -25 3/13</u>
   <u>5x</u> = <u>-9 3/13</u>
      5 5
   x = -1 11/13
   (x, y) = (-1 11/13, 12 8/13)
B. (3, 2)

Vedmedyk [2.9K]3 years ago

6 0

C. (2,3) The solution to the system of equations is where the two lines will intersect. looking at the graph that point is closest to C. (2,3)

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Find the coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4)

Eva8 [605]

The coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4) is $(\frac{-17}{5} ,\frac{2}{5} )$

Explanation :

the coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4)

Apply section formula to find coordinates of point Q

$(\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n} )$

Ratio m:n is 2:3 and point R is (x1,y1) , point S is (x2,y2)

Substitute all the values inside the formula

$(\frac{2(2)+3(-7)}{2+3} , \frac{2(4)+3(-2)}{2+3} )\\\\(\frac{-17}{5} ,\frac{2}{5} )$

The coordinates of point Q is $(\frac{-17}{5} ,\frac{2}{5} )$

Learn more : brainly.com/question/13878373

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