Solving the system y=−x+3 and x+y=8 by graphing shows that there is no solution to the system. Is this statement true or false? Explain.
(1 point)
Responses
The statement is true, because the lines have an intersection point.
The statement is true, because the lines have an intersection point.
The statement is false, because the lines have an intersection point.
The statement is false, because the lines have an intersection point.
The statement is false, because the lines are parallel.
The statement is false, because the lines are parallel.
The statement is true, because the lines are parallel.
The statement is true, because the lines are parallel.
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The correct response is: The statement is false, because the lines are parallel.
When graphed, the two equations y = -x + 3 and x + y = 8 will show two parallel lines that never intersect. This means that the system of equations has no solution.