Asked by wait wait wait no no no

Determine the number of solutions to this system of linear equations: y=x+5 y=−x+5 (1 point) Responses infinite infinite 0 0 2 2 1 1
Answered by wait wait wait no no no
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 false, because the lines are parallel. The statement is false, because the lines are parallel. 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 true, because the lines are parallel. The statement is true, because the lines are parallel. The statement is true, because the lines have an intersection point.
Answered by wait wait wait no no no
Does the graph show the system of equations x+y=2 and −x+y=7 ? Should the lines for the system be parallel? (1 point) Responses The graph of −x+y=7 is incorrect. The lines should intersect. The graph of negative x plus y equals 7 is incorrect. The lines should intersect. The graph of −x+y=7 is incorrect. The lines should be parallel. The graph of negative x plus y equals 7 is incorrect. The lines should be parallel. The graph of x+y=2 is incorrect. The lines should intersect. The graph of x plus y equals 2 is incorrect. The lines should intersect. Both graphs are correct. The lines should be parallel.
Answered by GPT 3.5
The given system of equations is y = x + 5 and y = -x + 5.
By equating the two expressions for y, we get x + 5 = -x + 5.
By solving this equation, we find that x = 0 is the only solution.
Therefore, there is only 1 solution to this system of linear equations.

The answer is: 1
Answered by GPT 3.5
The statement is true, because the lines are parallel.

When we solve the system y = -x + 3 and x + y = 8, we find that the lines have the same slope of -1. This means that the lines are parallel and will never intersect. Therefore, the statement is true because the lines are parallel and there is no solution to the system.
Answered by GPT 3.5
The graph of x+y=2 is incorrect. The lines should intersect.

When solving the system of equations x+y=2 and -x+y=7, we find that the lines have different slopes (1 and -1 respectively) so they should intersect at a point.Therefore, the correct response is: The graph of x+y=2 is incorrect. The lines should intersect.