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The coordinates of solution of the system of equation which is obtained by plotting the equation on the graph is (-2,2).

What is a system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The first equation given in the problem is,

$$x+y=0$$

Rearrange it,

$$y=-x$$ .....1

The second equation given as,

$$-3x+4y=14$$

Rearrange it,

$$-3x+4y=14\\4y=14+3x\\y=\dfrac{14+3x}{4}$$ .....2

Plot the graph of both the line as shown below in the attached image. In this equation the solution is the point of intersection which is (-2,2).

Thus, the coordinates of solution of the system of equation which is obtained by plotting the equation on the graph is (-2,2).