solve and graph
2x-y=4
2x-y=6
would this be
x=2+0.5y
x=3+0.5y
and then graph as that???????
not really sure what i am doing here
Put both equations in the form of
y=mx +b
Then observe that the slope is the same, the lines are parallel, and have no common solution.
To solve and graph the given system of equations, let's begin by putting both equations in the form of y = mx + b:
1) 2x - y = 4
Rearranging, we get:
-y = -2x + 4
Now multiply through by -1 to isolate y:
y = 2x - 4
2) 2x - y = 6
Rearranging, we get:
-y = -2x + 6
Multiply through by -1 to isolate y:
y = 2x - 6
Now you have both equations in slope-intercept form, where the slope is "m" and the y-intercept is "b".
Comparing both equations, you can see that the slopes (2) are the same, but the y-intercepts (-4 and -6) are different.
Having the same slope but different y-intercepts means the lines are parallel and will never intersect.
To graph these two lines, plot the y-intercepts (-4 and -6) on the y-axis. From there, use the slope (2) to find additional points on each line. Then draw a line through these points, extending it infinitely in both directions.
So the graph will consist of two parallel lines.
Hope this helps clarify how to solve and graph the given system of equations!