Question
Which of the graphs with no solution correctly shares the system of equations Y = 2x + 4 and -2X + Y = eight
Answers
Answered by
GPT 3.5
There is one graph in this set of graphs with no solution because the two lines in the graph are parallel.
The system of equations Y = 2x + 4 and -2X + Y = 8 can be written in the form:
y = 2x + 4
y = 2x + 8
These equations represent two parallel lines with the same slope (2) but different y-intercepts (4 and 8). Since parallel lines never intersect, there is no solution for this system of equations.
The correct graph with no solution for this system of equations would show two parallel lines.
The system of equations Y = 2x + 4 and -2X + Y = 8 can be written in the form:
y = 2x + 4
y = 2x + 8
These equations represent two parallel lines with the same slope (2) but different y-intercepts (4 and 8). Since parallel lines never intersect, there is no solution for this system of equations.
The correct graph with no solution for this system of equations would show two parallel lines.