To graph the system of equations, we first need to rewrite them in slope-intercept form (y = mx + b).
The first equation is:
2x + 4y = 8
4y = -2x + 8
y = -0.5x + 2
The second equation is:
2x + 6y = 18
6y = -2x + 18
y = -0.333x + 3
Now we can graph these two equations on the same coordinate plane.
The graph of the first equation (y = -0.5x + 2) is a line with a y-intercept of 2 and a slope of -0.5.
The graph of the second equation (y = -0.333x + 3) is a line with a y-intercept of 3 and a slope of -0.333.
These two lines are parallel and will never intersect, meaning there is no solution to the system of equations. So the correct answer is: There is no solution.
Graph the following system of equations.
2x + 4y = 8
2x + 6y = 18
What is the solution to the system?
There is no solution.
There is one unique solution, (−6, 5).
There is one unique solution, (−4, 4).
There are infinitely many solutions.
1 answer
1 answer