OraliaZ515506 OraliaZ515506
  • 03-11-2022
  • Mathematics
contestada

find the solution of this system of equations2x-2y=149x+4y=37

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XzaviorT11977 XzaviorT11977
  • 03-11-2022

2x-2y=14

9x+4y=37​

Multiply the first equation by 2, and then add both :

4x-4y=28

+

9x+4y=37

_______

13x = 65

Divide both sides of the equation by 13

13x/13 = 65/13

x= 5

Replace x on any equation and solve for y:

2x-2y=14

2(5)-2y=14

10-2y= 14

Subtract 10 from both sides:

10-10-2y= 14-10

-2y= 4

Divide both sides by -2

-2y/-2 =4/-2

y= -2

Solution:

x=5

y= -2

Answer Link

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