Respuesta :

Answer:

No

Step-by-step explanation:

Given

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

[tex]-4x + y = -14[/tex]

Required

Is (4,-2) a possible solution?

In (4,-2)

[tex]x = 4[/tex]

[tex]y = -2[/tex]

Substitute [tex]x = 4[/tex] and [tex]y = -2[/tex] in: [tex]2x + 4y = -2[/tex]

[tex]2(4) + 4(-2) = -2[/tex]

Open all brackets

[tex]2*4 - 4*2 = -2[/tex]

[tex]8 - 8 = -2[/tex]

[tex]0 \ne -2[/tex]

The above expression shows that (4,-2) is not a solution and there is no need to check for the second equation.