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 \: (\\exists)}}\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 \: (\\exists)}}\end{array}}\qquad\quad\checkmark`

Answer:

`\underline{No\:solutions (Undetermined)}`