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A Cartesian coordinate plane graph displays two linear equations. One is y equals negative x plus 3, and the other is x plus y equals 8.
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)
The statement is false, because the lines are parallel.
The statement is false, because the lines have an intersection point.
The statement is true, because the lines are parallel.
The statement is true, because the lines have an intersection point.
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The statement is true, because the lines are parallel.
Both lines have slope −1 (y = −x + 3 and y = −x + 8), different y-intercepts, so they never intersect and the system has no solution.
Both lines have slope −1 (y = −x + 3 and y = −x + 8), different y-intercepts, so they never intersect and the system has no solution.
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