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*
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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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