Solve This Equation.?

Question

What does x and y equal if x+3y=y+110 and how do you solve that

Answer 1

You have to try and get the equations so that the variable is alone on one side, with the other on the other side.
Let's start with trying to get X on one side...
x+3y=y+110
to get rid of the 3y, subtract 3y from both sides
you now have
x=-2y+110
And then x is by itself, so you know what it equals

Now, let's get Y by itself
x+3y=y+110
first, you can move the X from the left to the right by subtracting x from both sides
you now have
3y=y+110-x
Now you still have a y on the right, so to bring that over, you subtract y from both sides
you now have
2y=110-x
you need to divide everything by 2 to get y all by itself, so you have
y=(110-x)/2
this can be simplified to
y=55-.5x



If you wanted to know how to find what X and Y are equal to WITHOUT variables, I'm sorry but that's impossible unless you have another equation to work with. You would need to do what I did above and then substitute the Y= or X= into the variable in the other equation and you could get what the answer was in numerical form :)

Answer 2

Move the variables to one side by subtracting y from the right and left sides.

x+2y=110

As you can now see, there are an infinite number of solutions.

To better see the solutions, subtract x from both sides, and then divide both sides by 2.

y = -1/2x + 55

This is the equation for a line. Any point on the line will satisfy the equation. (0, 55) or (20, 45) or ..... there are an infinite number of solutions.

Answer 3

This equation has an infinite number of possibilities that you can get by graphing the line

2y = -x + 110
y = -1/2 x + 55

Answer 4

X+3Y=Y+110 . Just try guessing numbers for y, and x until you get close.


P.S. I don't know, I'm just a 6th grader!!!!!!!

Answer 5

for x:
x+3y=y+110
x+3y-3y=y-3y+110 (subtract both sides by 3y)
x=-2y+110

for y:
x+3y=y+110
x-x+3y=y+110-x (subtract both sides by x)
3y-y=y-y+110-x (subtract both sides by y)
2y/2=(110-x)/2 (divide 2 by both sides
y=(110-x)/2 or y=55-x/2


so, x=-2y+110 and y=(110-x)/2 or y=55-x/2

Answer 6

I don't think you can. In order to solve two variables you need two equations, or the value of one variable. Unless your graphing it.

Answer 7

you need one more equation if you have two incognites ( x and Y)