i AM HAVING TROUBLE GRAPHING SOLVING THE FOLLOING BY GRAPHING. cAN SOMEONE HELP PLEASE.

2X=Y=1
2X-Y=5 i do know that the lines do not intersect what do I do with the problem

To solve the system of equations by graphing, you need to plot the graphs of both equations on the same coordinate plane and find the points of intersection, if any. However, you mentioned that the lines do not intersect in this case.

When the lines do not intersect, it means that the system of equations is inconsistent, which means there is no solution that satisfies both equations simultaneously. In other words, the two lines are parallel and never cross each other.

So, the conclusion is that there is no solution to the given system of equations.

To graph the equations correctly, let's rewrite them in a clearer format:

Equation 1: 2x + y = 1
Equation 2: 2x - y = 5

Now, let's graph both equations to verify that they are parallel. Start by rewriting each equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

For Equation 1:
2x + y = 1
y = -2x + 1

For Equation 2:
2x - y = 5
y = 2x - 5

Now, plot the y-intercepts (b) for both equations: (0, 1) for Equation 1 and (0, -5) for Equation 2.

Next, use the slopes (m) of the equations to find additional points on the lines. Since the slope for Equation 1 is -2, you can find another point by going down two units and right one unit from the y-intercept. Similarly, since the slope for Equation 2 is 2, you can go up two units and right one unit from its y-intercept to find another point.

Once you have both points for each line, draw a straight line passing through them. Since the lines are parallel, they will never intersect.

So, in this case, the lack of intersection points confirms that there is no solution to the system of equations.