KhianaC433500 KhianaC433500
  • 25-10-2022
  • Mathematics
contestada

solve the following system of equations-5x-3y=-16-3x+2y=-21x=y=

Respuesta :

BaniL112825 BaniL112825
  • 25-10-2022

-5x - 3y = -16

-3x + 2y = -21

Solving for y the first equation:

-5x + 16 = 3y

y = (-5/3)x + (16/3)

Using this value of y into the second equation:

-3x + 2(-5/3)x + 2(16/3) = -21

-3x - (10/3)x + 32/3 = -21

Multiplying all by 3:

-9x - 10x + 32 = -63

-19x = -63 - 32 = -95

x = 95/19

Using this value of x into the y we found with the first equation:

y = (-5/3)x + 16/3

y = (-5/3)(95/19) + 16/3 = -475/57+ 304/57 = -171/57

y = -171/57

x = -31/19 = -1.6315

y = -171/57 = -3

Answer:

x = -1.6315

y = -3

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