sethandoan
sethandoan sethandoan
  • 23-02-2020
  • Mathematics
contestada

2x -6y = 5
x+y=2
Solve the system of equations.
(17, -15)
(17/8, -18)
no solution​

Respuesta :

Maxone73 Maxone73
  • 24-02-2020

Answer:

(17/8, -1/8)

Step-by-step explanation:

[tex]\left \{ {{2x-6y=5} \atop {x+y=2}} \right.[/tex]    

the bottom equation is equivalent to x = 2-y

so I switch the value of x in the top equation to x = 2-y

and it becomes 2*(2-y) - 6y = 5

equal to 4 - 2y - 6y = 5

-8y = 1

y = -1/8

then you substitute this value in the second equation

x + y = 2 becomes x + (-1/8) = 2  

x = 2 + 1/8 = 16/8 + 1/8 = 17/8

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