SOLUTION: hello all, I wrote on here a couple days ago asking for help with my algebra homework with the linear equations. I understand now to do ones with the variables on the t

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Question 1129302: hello all,
I wrote on here a couple days ago asking for help with my algebra homework with the linear equations. I understand now to do ones with the variables on the two sides of the equality like y=3x-2. I know that X=0 and also 3 and Y=2 and 0 on the T chart for the graphing.
Now the part that I'm having a hard time with is when the X and Y are on the same side of the equality like for example 2x+3=6. I'm having a rough time getting the T chart X and Ys for these problems.
any help would be really helpful as I have a quiz on Tuesday that I don't wanna fail.
Two ther examples of the ones I don't understand are 2x-3y=6 and also 3x+4y=12
thank you so much in advance.
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

the equality like is linear equality in - form where is a slope and is y-intercept
so, in case above is a slope and is y-intercept
if you want to graph that line, you need two points (line is defined by two points)
since you already have that y-intercept (means is , one point is
(,)
for second point you can choose to find x-intercept, when
=>=>

(,)

now, plot the points and draw a line through




Two other examples:
and are written in a standard form
to graph them, you need two points
you can choose any value for and calculate , or you can
find and -intercepts,which is easier
you do same as above; set to find y-intercept,
-> -> ->

and set to find x-intercept
->->->
so, points are:
() -> y-intercept
() -> x-intercept

plot:



and
set to find x-intercept
->->

set to find y-intercept
->->

so, points are:
() -> x-intercept
() -> y-intercept
plot:




Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
hello all,
I wrote on here a couple days ago asking for help with my algebra homework with the linear equations. I understand now to do ones with the variables on the two sides of the equality like y=3x-2. I know that X=0 and also 3 and Y=2 and 0 on the T chart for the graphing.
Now the part that I'm having a hard time with is when the X and Y are on the same side of the equality like for example 2x+3=6. I'm having a rough time getting the T chart X and Ys for these problems.
any help would be really helpful as I have a quiz on Tuesday that I don't wanna fail.
Two ther examples of the ones I don't understand are 2x-3y=6 and also 3x+4y=12
thank you so much in advance.
You asked for a T-chart and nothing else. I don't know why the other person did everything except give you a T-chart.

I think you meant, 2x + 3y = 6, and NOT 2x + 3 = 6

Now, we get: 3y = - 2x + 6, and we can clearly see that the right side needs to be DIVIDED by 3, so this is why I chose values that are MULTIPLES of 3, and including 0. 

These are: 0, 3, 6, 9, and 12. With that, I'm able to get integer values for y.

You now have 5 points with which to plot the graph, since you need to set up a T-table.

===============





xyCoordinate Point


0  3y = - 2(0) + 6_____3y = 6_____y = 2      (0, 2)


3  3y = - 2(3) + 6_____3y = 0_____y = 0      (3, 0)


6 3y = - 2(6) + 6_____3y = - 6_____y = - 2     (6, - 2)


93y = - 2(9) + 6_____3y = - 12_____y = - 4     (9, - 4)


123y = - 2(12) + 6_____3y = - 18_____y = - 6    (12, - 6)





You should now be able to do the other 2 equations: 2x - 3y = 6 and 3x + 4y = 12, by using the same method. If not, write back! 

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