nnawwar000 nnawwar000
  • 18-11-2019
  • Mathematics
contestada

the equation of two lines are 6x-y=4 and y=4x+2. what is the value of x in the solution for this system of equations?

Respuesta :

carlosego
carlosego carlosego
  • 21-11-2019

For this case we have the following system of equations:

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

Substituting the second equation into the first we have:

[tex]6x- (4x + 2) = 4\\6x-4x-2 = 4\\2x = 4 + 2\\2x = 6\\x = \frac {6} {2}\\x = 3[/tex]

We find the value of the variable "y":

[tex]y = 4x + 2\\y = 4 (3) +2\\y = 12 + 2\\y = 14[/tex]

Finally, the system solution is:

[tex](x, y) :( 3,14)[/tex]

Answer:

The value of "x" in the system solution is 3.

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