Consider the system of equations.
y = -x + 3
y=-x-3
The graph of the first equation is shown by the orange
line.
ty
What is the slope of the orange line?
If the second equation was drawn on the same graph,
what would be its slope?
If the lines of both equations were shown on the same
graph, they would
The system of equations has

This question is based on system of linear equation. thus, there is no solution of equations.

Given:

y = - x + 3                                                                        ...(1)

y = -x - 3                                                                          ...(2)                          

We know that ,

Equation of line  is y = mx+c                                        ...(3)

Now, calculate the slope of equation (1) is m= -1 (by comparing equation (1) and (3).

Now, calculate the slope of equation (2) is m= -1 (by comparing equation (2) and (3).

Therefore, both lines are parallel to each other.Thus, never meet ech other so, the equation has no solution.

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