Question

I made this equation, 30x+y=60, is it linear because I need to be linear.

Answer 1

a linear equation is where the greatest power in the equation is 1

Answer 2

do the variables have a power greater than 1 or less than 1?

Answer 3

if you want to make it look like
\[y=mx+b\] subtract \(30x\) from both sides

Answer 4

I don't want it to be in slope intercept form

Answer 5

as long as x AND y do not have powers x^2 or sqrt(y) for eample , i.e. they are both to power 1 then the equation is linear

Answer 6

here are examples of linear equations:
3x+1=5y
x=2
4=y
34x+4y+z=1
x+y=1
30x+y=60

Answer 7

here is an example of a nonlinear equation
x^2+y=10
x^5+x^2+x=234

Answer 8

so is it linear?

Answer 9

it doesn't matter what 'form' it is in - all forms are simply different expressions of the SAME equation.

It is linear if the poer of x and y is 1

Answer 10

I'm kinda confused when an equation is linear or not. What makes an equation linear?

Answer 11

the power the variable is raised to @KayleeNeedsHelp

Answer 12

READ my last post - there is no confusion

Answer 13

the power the variable is raised to has to be 1 for it to be linear

Answer 14

\[x^1=x\]
usually people don't write the 1
but something like x+y=1 is linear because both x and y are to the first power

Answer 15

if your equation has no powers (squares, cubes etc. or roots squareroot cuberoot etc.) then it is linear

Answer 16

@iambatman Could you explain, when I get reply after reply it gets hard to understand anything and @MrNood, I think something has to make a certain type of eqaution, I dont think it would be the same.

Answer 17

Several people have explained.

IF your equation has no powers (squares, cubes etc.) or roots (squareroot cuberoot etc.) then it is linear

Answer 18

oh well, i guess, Thanks everyone though

Answer 19

Well thanks to everyone, ill go and carefully read through them. Truely Thanks!! <3

Answer 20

if it is a linear equation with two variables it can written in this form ax+by=c .
we can also have a one variable linear equation, x=m or y=n.
There are other linear equations with more than two variables.
In general it can be written as
\[a_nx_n+a_{n-1}x_{n-1}+ \cdots + a_3x_3+a_2x_2+a_1x_1+a_0=d\]

Answer 21

\[m,n,a,b,c,d,a_n ,a_{n-1},...,a_3,a_2,a_1,a_0 \text{ are all constant real values }\]