Mathematics, 14.09.2020 14:01 hinacat87

−4x − 2y = 14
−10x + 7y = −25

Answers: 3

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Answers

So assuming x=x and y=y for both equations

use elimination

multiply first equation by 7 and second equation by 2
-28x-14y=98
-20x+14y=-50

add
-28x-14=98
-20x+14y=-50 +
-48x+0y=48

-48x=48
divide both sides by 48
-x=1
multiply -1
x=-1

subsitute
-4x-2y=14
-4(-1)-2y=14
4-2y=14
subtract 4 from both sides
-2y=10
divide both sides by 2
-y=5
multiply -1
y=-5

x=-1
y=-5

Answer from: ilovewaffles70

-4x - 2y = 14 ⇒ -28x - 14y = 98
-10x + 7y = -25 ⇒ 20x - 14y = 50
   -48x = 48
      -48    -48
   x = -1
      -4x - 2y = 14
   -4(-1) - 2y = 14
      4 - 2y = 14
   - 4    - 4
      -2y = 10
   -2    -2
   y = -5
   (x, y) = (-1, -5)

Answer from: Quest

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2 is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes. our only condition is that it passes through the point (-2,5)

A. write an equation of a line that passes through (-2, 5). b. how many different equations could y

Answer from: Quest

step-by-step explanation:

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−4x − 2y = 14
−10x + 7y = −25...