SOLUTION: How do I find y for this equation? 2x-y=1 I don't understand how to solve it and then graph it along with y=-3.

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Question 700783: How do I find y for this equation? 2x-y=1 I don't understand how to solve it and then graph it along with y=-3.
Found 5 solutions by jpvn2015, KMST, ankor@dixie-net.com, Killjoy club, ikleyn:
Answer by jpvn2015(54) About Me  (Show Source):
You can put this solution on YOUR website!
2x-y=1
-y=1-2x (subtracted 2x from both sides)
y = -1 + 2x (multiplied both sides by "-1")

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
ONE WAY TO FIND y:
2x-y=1 --> 2x-y-1=1-1 --> 2x-y-1=0 --> 2x-y-1%2By=0%2By --> 2x-1=y --> highlight%28y=2x-1%29
ANOTHER WAY:
2x-y=1 --> 2x-y-2x=1-2x --> -y=1-2x --> %28-1%29%28-y%29=%28-1%29%281-2x%29 --> y=-1%2B2x --> highlight%28y=2x-1%29
Using y=2x-1 you can calculate the coordinates of two points on the line,
and then you would just plot the points and connect them with a straight line.

However, you can graph 2x-y=1 without transforming the equation into y=2x-1.
To get the coordinates of a point on the line,
you can give a value to x (or to y),
and solve for the other variable.
For x=0, substituting into 2x-y=1 we get
2%2A0-y=1 --> 0-y=1 --> -y=1 --> y=-1.
That gives us the point (0,-1), with x=0 and y=-1.
For x=3, we get
2%2A3-y=1 --> 6-y=1 --> -y=1-6 --> -y=-5 --> y=5
That gives us the point (3,5).
Plotting (0,-1) and (3, 5} we get
Adding the line, we get


On the line for y=-3, all the points have y=-3, for any and all values of x.
Adding that line (in green), we get:

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
find y for this equation?
2x - y = 1
subtract 2x from both sides
-y = -2x + 1
y has to be positive, multiply both sides by-1
y = 2x - 1
:
"graph it along with y=-3."
find x when y = -3
2x -1 = -3
2x = -3 + 1
2x = -2
x = 2/-2
x = -1
:
Make a table to plot a graph using above coordinates and x = -3, 0 and +2
x | y
------
-3 |-7; replace x with -3, find y to be -7
-1 |-3
0 |-1
+2 |+3
:
Plot these points, your graph should look like this
+graph%28+300%2C+200%2C+-6%2C+5%2C+-8%2C+8%2C+2x-1%29+

Answer by Killjoy club(2) About Me  (Show Source):
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
How do I find y for this equation? 2x-y=1 I don't understand how to solve it and then graph it along with y=-3.
~~~~~~~~~~~~~~~~~~~~

1.  Add "y" to both sides. You will get an equivalent equation

    2x = 1 + y.


2.  Subtract "1" from both sides you will get an equivalent equation

    2x - 1 = y.


3.  It is equivalent to 

    y = 2x - 1.


4.  It is your answer.

Solved.

This procedure of three steps is called "to isolate y".