ttyron923
ttyron923 ttyron923
  • 04-01-2022
  • Mathematics
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devishri1977
devishri1977 devishri1977
  • 04-01-2022

Answer:

(6 , -1)

Step-by-step explanation:

2x+  y  = 11   ----------------(I)

y = 11 - 2x --------------------(II)

[tex]\frac{1}{2}x - 5y = 8[/tex]

Multiply the whole equation by 2

[tex]2*\frac{1}{2}x -2*5y = 2*8[/tex]

x - 10y = 16 --------------------(III)

Substitute y = 11- 2x in equation (III)

x - 10(11 - 2x) = 16

x - 110 + 20x = 16

21x - 110 = 16

21x = 16 +110

21x = 126

x = 126/21

x = 6

Plugin x = 6 in equation (II)

y = 11 - 2*6

y = 11 - 12

y = -1

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