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−4x − 2y = 14
−10x + 7y = −25


Sagot :

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
  -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)
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