X plus Y equals eight
Y equals negative X +3
Solve the system y equals negative X +3 and X plus Y equals eight by graphing shown that there is no solution to the system is the statement true false?explain.
The statement is true, because the lines have an intersection point
The statement is false because the lines have an intersection point
The statement is false because the lines are parallel
The statement is true, because the lines are parallel
The statement is false because the lines are parallel.
When graphing the two equations, y = -x + 3 and x + y = 8, they have the same slope and different y-intercepts, which means they are parallel lines. Since parallel lines never intersect, there is no solution to the system of equations.