The statement is false, because the lines have an intersection point.
To solve the system by graphing, we plot the two equations on a graph.
The equation y = -x + 3 is a linear equation representing a line with a slope of -1 and a y-intercept of 3.
The equation x + y = 8 can be rearranged to y = -x + 8, which also represents a line with a slope of -1 and a y-intercept of 8.
When we graph these lines, we will see that they intersect at the point (2, 6).
Therefore, the correct statement is C. The statement is false, because the lines have an intersection point.
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.
A The statement is true, because the lines are parallel.
B The statement is true, because the lines have an intersection point.
C The statement is false, because the lines have an intersection point.
D The statement is false, because the lines are parallel.
1 answer
1 answer