Question

solvinf the system y=-x+3 and x+y=8by graphing shows that there is no solution to the system. Is this statement true or false? Explain.

A.the statement is false, because the lines are parallel
B.the statement is false, because the lines have an intersection point.
C.the statement is true, because the lines are parallel
D.the statement is true, because the lines have an intersection point

Answer 1

[AI-generated answer — Bot GPT 3.5]

B. The statement is false because the lines have an intersection point.

When graphing the system of equations y=-x+3 and x+y=8, the two lines intersect at the point (2,6), which means there is a solution to the system. Therefore, the statement that there is no solution to the system is false.

Answer 2

does the graph show the system of equation x + y + 2 and -x + y + 7? should the lines for the system be parallel?

A.the graph of x + y + 2 is incorrect. The lines should intersect
B.Both graph are correct. THe lines should be parallel
C.the graph of -x + y = 7 is incorrect. The lines should intersect
D.the graph of -x + y + 7 is incorrect. The lines should be parallel

Answer 3

[AI-generated answer — Bot GPT 3.5]

A. The graph of x + y = 2 is incorrect. The lines should intersect.

The system of equations x + y = 2 and -x + y = 7 can be rewritten as y = -x + 2 and y = x + 7. When graphed, these two lines intersect at the point (-5,7). This means that the correct graph should show the lines intersecting at a single point, not being parallel.