Use the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0ASolving 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. %0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AThe statement is false, because the lines are parallel.%0D%0AThe statement is false, because the lines are parallel.%0D%0A%0D%0AThe statement is true, because the lines are parallel.%0D%0AThe statement is true, because the lines are parallel.%0D%0A%0D%0AThe statement is false, because the lines have an intersection point.%0D%0AThe statement is false, because the lines have an intersection point.%0D%0A%0D%0AThe statement is true, because the lines have an intersection point.%0D%0AThe statement is true, because the lines have an intersection point.%0D%0ASkip to navigation%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0AHighlight%0D%0AItem%0D%0A1%0D%0A, Unattempted.%0D%0AItem%0D%0A2%0D%0A, Unattempted.%0D%0AItem%0D%0A3%0D%0A, Unattempted.%0D%0AItem%0D%0A4%0D%0A, Unattempted.%0D%0AItem%0D%0A5%0D%0A, Unattempted.%0D%0APreviousNext

Question

Use the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0ASolving 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.  %0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AThe statement is false, because the lines are parallel.%0D%0AThe statement is false, because the lines are parallel.%0D%0A%0D%0AThe statement is true, because the lines are parallel.%0D%0AThe statement is true, because the lines are parallel.%0D%0A%0D%0AThe statement is false, because the lines have an intersection point.%0D%0AThe statement is false, because the lines have an intersection point.%0D%0A%0D%0AThe statement is true, because the lines have an intersection point.%0D%0AThe statement is true, because the lines have an intersection point.%0D%0ASkip to navigation%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0AHighlight%0D%0AItem%0D%0A1%0D%0A, Unattempted.%0D%0AItem%0D%0A2%0D%0A, Unattempted.%0D%0AItem%0D%0A3%0D%0A, Unattempted.%0D%0AItem%0D%0A4%0D%0A, Unattempted.%0D%0AItem%0D%0A5%0D%0A, Unattempted.%0D%0APreviousNext

GPT 3.5 · Answer

The statement is true, because the lines have an intersection point. By graphing the two equations, y = -x + 3 and x + y = 8, we can see that the two lines intersect at the point (2,6). Therefore, there is a solution to the system of equations.