solving the system Y equals negative X +3 and X plus Y equals eight by graphing shows that there is no solution to the system is this statement true or false
False
To solve the system Y equals negative X +3 and X plus Y equals eight by graphing, plot the two equations on a coordinate plane. The first equation Y = -X + 3 is a linear equation with a y-intercept of 3 and a slope of -1. The second equation X + Y = 8 can be rearranged to Y = -X + 8, which also has a y-intercept of 8 and a slope of -1.
When graphing both equations, you will see that the lines intersect at the point (2, 6), which is the solution to the system. Thus, there is a solution to the system, making the statement false.