chrissyocmd chrissyocmd
  • 13-02-2020
  • Mathematics
contestada

What is the solution of the following system of equations ? y- 2x and= 6 , y - 4x =0

Respuesta :

Ursus Ursus
  • 14-02-2020

Answer:

x=3 and y=12

Step-by-step explanation:

[tex]y-2x=6[/tex]     equation:1

[tex]y-4x=0[/tex]     equation:2

Solving equation:1 for 'y' in terms of x

[tex]y=6+2x[/tex]      equation:3

Putting 'y' in equation:2 which will make the equation of the single variable

[tex]y-4x=0[/tex]

[tex]6+2x-4x=0\\-2x=-6\\x=3[/tex]

Putting value of 'x' in equation:3 to find 'y'

[tex]y=6+2x[/tex]

[tex]y=6+2(3)\\y=6+6\\y=12[/tex]

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