HELP ME PLEASE: The equations 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?

HELP ME PLEASE The equations of two lines are 6xy4 and y4x2 what is the value of x in the solution for this system of equations class=

Respuesta :

6x - (4x+2)=4

6x-4x-2=4

2x-2=4

2x=6
x=3

y= 4(3)+2

y=12+2=14

(3,14)
Lanuel

The value of x in the solution for this system of equations is -1.

Given the following system of equations:

  • [tex]6x-y=4[/tex]    ....equation 1.
  • [tex]y=4x+2[/tex]    ....equation 2.

To determine the value of x in the solution for this system of equations, we would use the substitution method:

In order to find a solution, we would substitute one of the equations into the other equation.

Substituting eqn. 2 into eqn. 1, we have:

[tex]6x-(4x+2)=4\\\\6x-4x-2+4=0\\\\2x+2=0\\\\2x=-2\\\\x=\frac{-2}{2}[/tex]

x = -1

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Universidad de Mexico