Question

I need help with system of equations. {y=2x - 6 {4x - 2y = 14

Answer 1

Hope this helps you.

Answer 2

Resolving by the substitution method:
$\left \{ {{y=2x-6\:(I)} \atop {4x-2y=14\:(II)}} \right.$

Replace the value of "Y" in the second equation:
$4x-2y=14\:(II)$
$4x - 2*(2x-6) = 14$
$4x - 4x + 12 = 14$
$0x = 14 - 12$
$\boxed{\boxed{0x = 2 \: (\nexists)}}\end{array}}\qquad\quad\checkmark$

or

$\left \{ {{y=2x-6\:(I)} \atop {4x-2y=14\:(II)}} \right.$
$\left \{ {{-2x+y=-6\:*(2)} \atop {4x-2y=14\:\:\:\:\:\:}} \right.$
$\left \{ {{-\diagup\!\!\!\!4x+\diagup\!\!\!\!2y=-12} \atop {\diagup\!\!\!\!4x-\diagup\!\!\!\!2y=14}} \right.$
$\boxed{\boxed{0 = 2 \: (\nexists)}}\end{array}}\qquad\quad\checkmark$

Answer:
$\underline{No\:solutions (Undetermined)}$