bradhuh543 bradhuh543
  • 17-03-2020
  • Mathematics
contestada

Solve the system of linear equations by substitution.

−x−8=−y
9y−12+3x=0

The solution is ( , )

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signemarie signemarie
  • 17-03-2020
-X-8+8=-y+8
-x= -8y
X=8y
Answer Link
akindelemf
akindelemf akindelemf
  • 17-03-2020

Answer:

The solution (x, y) = (-5, 3)

Step-by-step explanation:

-x - 8 = -y .... (1)

9y - 12 + 3x = 0 .... (2)

from equation (1)

-x = - y + 8 ... (3)

multiply equation (3) by -1

x = y - 8 ..... (4)

substituting equation (4) in equation (2)

9y - 12 + 3 ( y - 8) = 0

9y - 12 + 3y - 24 = 0

12y - 36 = 0

12y = 36

y = 36 /12

y = 3

Substitute y = 3 in equation (4)

x = y - 8

x = 3 - 8

x = -5

Answer Link

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