How do the solutions of a system of linear equations appear on a graph

Both the straight-line graph of the two linear equations will pass through the solution point.  

Step-by-step explanation:

Let there is a system of linear equations :

ax + by + c = 0 (1) and

px + qy + r = 0 (2)

If we solve those two equations algebraically, then we will get a solution for the system. Let the solution be (h,k).

So, this point (h,k) will satisfy both equation (1) and equation (2).

Graphically, if we plot the linear equation on the coordinate plane then we will get two different straight lines one for equation (1) and another for equation (2).

Now, (h,k) point on the coordinate plane through which both the straight line will pass.

If the two straight lines are parallel then there will be no solution i.e. there will be no point through the two straight lines will pass.

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step-by-step explanation: