A. The statement is false, because the lines are parallel.
This is the correct response because when two lines are parallel, they do not intersect and therefore do not have a solution to the system of equations. In this case, since the two lines y = -x + 3 and x + y = 8 are parallel, the statement that there is no solution to the system is false.
Use the image to answer the question.
A coordinate plane with 4 quadrants ranges from negative 10 to 10 in unit increments on both the x and y axes. A solid line and a dashed line with arrows at both the ends are drawn parallel to each other on the graph. The equation of the solid line is y equals negative x plus 3. The equation of the dashed line 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)
Responses
A. The statement is false, because the lines are parallel.
The statement is false, because the lines are parallel.
B.The statement is true, because the lines are parallel.
The statement is true, because the lines are parallel.
C. The statement is true, because the lines have an intersection point.
The statement is true, because the lines have an intersection point.
D. The statement is false, because the lines have an intersection point.
The statement is false, because the lines have an intersection point.
1 answer