linear functions and linear equations: 8x-3y=6-4x

[c_ortiz92]

i need major help bc i am not understanding this at all...its very confusing...and i am usually awesome at math....heres an example of what im working with

8x-3y=6-4x

[skeeter]

what are you supposed to do with this equation ... i.e., directions?

[jwpaine]

What are you trying to do? What is the problem in its full extent? Please be specific

If you want to solve for either x or y, than combine like terms on either side, divide, add and subtract as nessesary

[c_ortiz92]

well, the instructions say to determine whether each equation is a linear equation, so i have to write this in standard form, along with determining the x and y intercept

[o_O]

So what's the problem?
Standard form: Ax + By + C = 0 where A, B, and C are numerical values

To find the x-interecept, you set y = 0 in your equation. To find the y-intercept, you set x = 0 in your equation.

[c_ortiz92]

yeah i know that, i just cant get it right....can you help me out....give an explanation perhaps?

[o_O]

8x - 3y = 6 - 4x

What don't you understand? Putting it into standard form? Basically, you move everything to one side of the equal sign.

For finding the x-intercept, set y = 0. So from your equation, substitute y for 0 and solve for x.

For finding the y-intercept, set x = 0 and do the same thing again.

[c_ortiz92]

well, this is what i got, but i think im still wrong, and still confused...but this is what i got when i moved everything to the other side of the equal side.

y=-2 2/3 x + -2 - 1 1/3 x

did i get that part right?

[o_O]

Not quite. Looks like you need to brush up on your algebra. Also, when I said move everything to one side, I meant EVERYTHING including the y (because there's the 0 on the right side of the equation: Ax + By + C = 0).

8x - 3y - 6 = 6 - 6 - 4x
8x - 3y - 6 = -4x
...
Keep going?

[Subhotosh Khan]

well, this is what i got, but i think im still wrong, and still confused...but this is what i got when i moved everything to the other side of the equal side.

y=-2 2/3 x + -2 - 1 1/3 x

did i get that part right?

What are you doing is beyond me - however I'll do another problem and you follow the same procedure.

13y - 9x = -3y - x - 12

step (1) bring everything to one-side

13y - 9x + 3y + x +12 = 0

step(2) collect similar terms and simplify where possible

16y - 8x + 12 = 0

step(3) simplify further -where possible- by eliminating common factor

4y - 2x + 3 = 0 ..............DONE

In general, you should not have fractions as any of the coefficients (for this form).