Question

Me podrían ayudar porfavor

Método de sustitución
5x+y=8
x+3y=10
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Answer 1

5x + y = 8 → x = [tex]\frac{8-y}{5}[/tex]

x + 3y = 10

______________________-

[tex]\frac{8-y}{5}[/tex] + 3y = 10

[tex]\frac{8-y}{5}[/tex] = 10 - 3y

8 - y = (10 - 3y) · 5

8 - y = 50 - 15y

8 - 50 = 15y + y

-42 = 16y

[tex]\frac{-42}{16}[/tex] = y

-2,625 = y

______________

5x + (-2,625) = 8

5x - 2,625 = 8

5x = 8 + 2,625

5x = 10,625

x = [tex]\frac{10,625}{5}[/tex] = 2,125

________________

Comprobación:

5 · (2,125) + (-2,625) = 8

10,625 + (-2,625) = 8

10,625 - 2,625 = 8