rewrite 2x = -3y + 10 so that Y is a function of X?

Question

I'm not only asking for the answer but rather someone to explain this whole process! My teacher is to lazy to explain it so I've never gotten it and we're going to have a test on pretty soon :|
help?

Answer 1

2 x + 3 y = 10
3 y = 10 - 2 x
y = 10 / 3 - ( 2 / 3 ) x
y = ( - 2 / 3 ) x + 10 / 3

Answer 2

Solution
2x = -3y + 10
3y = - 2x + 10
3y = 10 - 2x

y = (10-2x)/3
now y is a function of x .... enjoy

Answer 3

Y as a function of x means that you have to express the given equation in such a way that there is y on one side, and x on other.
So, 3y = 10 -2x,
y = (10-2x)/3

Answer 4

Add 3y to both members of equation:
2x + 3y = -3y + 10 + 3y
On second member, -3y and 3y vanish:
2x + 3y = 10
Now subtract 2x to both members:
2x + 3y - 2x = 10 - 2x
On first member, 2x and -2x vanish:
3y = 10 - 2x
Now divide everything by 3, so you obtain:
y = 10/3 -2x/3

Answer 5

2x = -3y + 10

Now if we want rewrite it so that y is a function of x, we should be aiming for y = ......

To do this first we bring all terms that contain y (-3y) to 1 side of the equation and the rest of the terms (2x, 10) to the other.

So first we add 3y to both side of the equation.
----> 3y + 2x = 10
Then we deduct 2x
----> 3y = 10 - 2x
Finally to achieve our aim of y = ....
We divide both sides by 3
-----> y = (10 - 2x) / 3

Voila!

Answer 6

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RE:
rewrite 2x = -3y + 10 so that Y is a function of X?
I'm not only asking for the answer but rather someone to explain this whole process! My teacher is to lazy to explain it so I've never gotten it and we're going to have a test on pretty soon :|
help?

Answer 7

it goes like this.

2x= -3y +10
3y = -2x + 10

y= (-2x+10 )\ 3



\ as in divided by.

i hope this helps =)

Answer 8

-3y = 2x -10
y =(10 -2x)/3

Answer 9

-3y = 2x - 10

y = (2x -10) / (-3)