Respuesta :

Given:

[tex]y = 4 x + 6 \\ y = 8 x + 6 [/tex]

Substitute into one of the equations,

[tex] = > 4x + 6 = 8x + 6[/tex]

[tex] = > 4x - 8x = 6 - 6[/tex]

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

[tex] = > x = 0[/tex]

Substituting value of "x" in any one equation,

[tex] = > y = 4x + 6[/tex]

[tex] = > y = (4 \times 0) + 6[/tex]

[tex] = > y = 0 + 6[/tex]

[tex] = > y = 6[/tex]

Hence, the values are:-

[tex]x = 0[/tex]

[tex]y = 6[/tex]

Answer:

y = 6 and x = 0

Explanation:

  • y = 4 x + 6  _____equation 1
  • y = 8 x + 6 ______equation 2

Solving using substitution method:

4 x + 6 =  8 x + 6

8x - 4x = 6 - 6

4x = 0

x = 0

Find y using equation 1:

y = 4 x + 6

y = 4(0) + 6

y = 6