SOLUTION: This is a Graph Question. I have to solve by graphing. What I got was (-1,-3), the thing is I didn't qraph it correctly. Any chance you can help me? *2x=y+1 2x-y=5* Pleas

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Question 129947This question is from textbook algebra
: This is a Graph Question. I have to solve by graphing. What I got was (-1,-3), the thing is I didn't qraph it correctly. Any chance you can help me?
*2x=y+1
2x-y=5*

Please and Thank You=)
This question is from textbook algebra

Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the first equation

Subtract 1 from both sides

Rearrange the equation

Now let's graph the equation



Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is


Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point




Now since the slope is comprised of the "rise" over the "run" this means


Also, because the slope is , this means:




which shows us that the rise is 2 and the run is 1. This means that to go from point to point, we can go up 2 and over 1



So starting at , go up 2 units


and to the right 1 unit to get to the next point



Now draw a line through these points to graph

So this is the graph of through the points and





Now move onto the second equation

Add 2x to both sides

Rearrange the terms

Divide both sides by -1 to isolate y

Divide and simplify


Now let's graph the equation



Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is


Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point




Now since the slope is comprised of the "rise" over the "run" this means


Also, because the slope is , this means:




which shows us that the rise is -2 and the run is 1. This means that to go from point to point, we can go down 2 and over 1



So starting at , go down 2 units


and to the right 1 unit to get to the next point



Now draw a line through these points to graph

So this is the graph of through the points and






Now let's graph and together

Graph of (red) and (green)


So here we can see that the two graphs intersect at the point (-1,-3)

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Hmmm...I wonder how you got any solution at all???
Let's write the equations in their slope-intercept form:
2x = y+1 ---> y = 2x-1
2x-y = 5 ---> y = 2x-5
You can immeditely see that the two equations represent parallel lines because their slopes are equal. Since parallel lines do not intersect, there is no solution to this syem of equation!
Let's look at their graphs.

The answer to the problem then is: No solution!

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