Answer

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**Hint:**As we know that the above equation has to be solved graphically we can be plotted on a coordinate plane.So we have to find the slope and interception on the planes.

**Complete step by step solution:**As we want to solve the above equation in graphing form i.e. $2x-y=-8$

So,

Now we want to convert $2x-y=4$

Thus slope intercept we get

$y=2x-4$

i.e. $2$ is the given slope and now intercepting it an $y-$axis.

i.e. $-4.$

So now further solving the equation $4x-2y=-8$ into slope, we get

$2y=4x+8$ or $y=2x+4$

So, the slope is $2$

And now on $y-$axis is $4$

Thus we are seeing the above equation we get, that the line are parallel.

Hence, we will get no solution.

Graph $\left\{ \left( 2x-y-4 \right)\left( 4x-2y+8 \right)=0\left[ -10,10,-5,5 \right] \right\}$

**Additional Information:**

We can also solve such questions by other ways,

Like here, we can use either substitution method or any alternate method.

As, we have,

$2x - y = 4$ and $4x - 2y = - 8$

Here, the value of the coefficient of x In first equation is 2 and the value of the coefficient of x in the second equation is 4.

So, for solving the question,

We can make the value of coefficient of x in both the equations,

For that,

We need to multiply the first equation by 4 and the second equation by 2.

Then after subtracting the formed equations we can determine the value of x and y.

As we had solved the equation above, we can further solve it.

Example: $2x=4$ and $y=-3$

Now we are taking lines passing through $x=\dfrac{4}{2}=2$

Further the next equation i.e. horizontal line. $y=-3$

Above two point intersect at $P$ i.e. $\left( 2,-3 \right)$

**Note:**

We can also have example

$x-2y=-2$ and $x-2y=3$

Now taking the first equation

$x-2y=-2$

Now establishing the equation of $x$ and $y$with zero $\left( 0,1 \right)$ and $\left( -2,0 \right)$

Now further solving the second equation

$x-2y=3$

$\left( 0,-1\dfrac{1}{2} \right)$ and $\left( 3,0 \right)$

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