Solve. 4x+2y=100?

Answer 1

4x+2y=100
2x+y=50
y = -2x+50

Answer 2

First, you have to know which whole you intend to use for x and y. If in N+, your solutions will be whole ones. Then, you must realize that your equation does not have one solution, like x=1 or y=2, but many ones, all formed by a group of a value for x and one for y. Simplify, and write 2x+y=50.
x=1 and y=48, x=2 and y=46,x=3 and y=44, 4and 42, 5 and 40, 6 and 38, 7 and 36, 8 and 34, 9 and 32, 10 and 30, 11 and 28, 12 and 26, 13 and 24, 14 and 22, 15 and 20, 16 and 18, 17 and 16, 18 and 14, 19 and 12, 20 and 10, 21 and 8, 22 and 6, 23 and 4, 24 and 2.
In Z or R, you end up with an infinity of pairs solving your equation. You can draw a line showing all of them, which equation will be y= -2x +50

Answer 3

To solve algebraic equations for two unknowns where you have discreet values for each unknown(in this case x and y)
you need two equations. The one equation you have given could yield an infinite number of solutions.
Say x=0. Then 2y=100 or y=50.
If x=5, 2y=80 y=40.

For any value of x you can name, you will get a different value of y..If you have 2 equations, however, the values for x and y must work for both equations so you can solve for x and y.

Answer 4

4x + 2y = 100

2x + y = 50

Now, let y = 0....

2x = 50

x = 25

Similarly, now assume x = 0

y = 50

so x = 25, y = 50 satisfies the equation 4x + 2y = 100

Answer 5

What you need to ask is solve for y and/or x..... but I'll do both

First, this problem is a function so we need to find what y or x equals:

I'm going to solve for x

4x+2y=100

First the goal is to isolate x, so I'm going to subtract 2y.

4x=100-2y

Since x is still not by itself we are going to divide EVERYTHING by 4.

4x/4=(100-2y)/4

This will equal:

x=25-1/2y
or
x=-1/2y+25


To solve for y

4x+2y=100

The goal is to now isolate the variable y, so we are going to subtract 4x.

2y=100-4x

Since y is still not by itself, we need to divide EVERYTHING by 2.

2y/2=(100-4x)/2

This will equal:

y=50-2x
or
y=-2x+50

Hopefully this is right!!

Oh and this website will give you some help on these types of problems:
http://www.classzone.com/books/algebra_1/page_build.cfm?id=lesson7&ch=3

Answer 6

Ok. Are you solving for x or y? I'll show you both.
To solve for y:
4x+2y=100
subtract 4x from both sides
2y=-4x+100
Get Y isolated, divide all by 2
2y=-4x+100
-------------
2
y=-2x+50

To solve for x:
4x+2y=100
subtract 2y from each side
4x=-2y+100
Get x isolated, divide all by 4
4x=-2y+100
-------------
4
x=-1/2y+25

there ya go... that's how i'd suggest ya do it.

Answer 7

If you're solving for x it would be x = (100-2y)/4
If you're solving for y it would be y = (100-4x)/2

You can't solve x and y to be actual numbers unless you are givin a second equation.

Answer 8

The solution is a set of ordered pairs that satisfies the equation.

Graph it...that's the only way to display the solution.

It would be a line with slope -2 and y-intercept 50.

Answer 9

I think x=50 and 2=50

but it may be wrong there can sometimes be a second equation

Answer 10

put it in standard linear form y=mx + B

Y= -2x +50