how do you solve 2y-8x=12?

Answer 1

isolate the varible y for y=6+4x and that is your solution set

Answer 2

2y - 8x = 12

y - 4x = 3

y = 4x + 3

This equation defines a straight line on a 2 dimensional xy map. There are infinite solutions, any point on the line is a solution. If x = 1, then y = 7. If x = 0, then y = 3 (the y axis intercept).

If y = 0, then x = (-3/4) (the x axis intercept)

If x = 1000, then y = 4003.

Answer 3

This is an equation that takes a value for x and pairs it with a value for y or vice versa. You must know one of the values in order to solve it and get one single number answer.
If you plug in any value of your choice for either x or y, you can then multiply by 2 if you plug in for y or multiply by -8 if you plug in for x, then rewite the equation. Next, you would move the part of the equation that does not contain a variable (letter) and rewrite your equation. At this point you would divide by the number that appears to be beside the variable. For example, if I choose to plug in a 1 for x, my equation becomes 2y - 8(1) = 12. This simplifies to be 2y - 8 = 12. Now I need to move the -8 since it is the part without a variable. I add 8 to both sides so it cancels out on the left and is now represented on the right side. Now the equation would say 2y = 12 + 8. Adding leads us to the equation 2y = 20. Now to get y alone, you need to move the 2. Since the 2 is multiplied with the y, the process of un-multiplying it is dividing it by 2 - so you must divide both sides by 2. This gives the equation y = 10, so the answer is if x = 1, then y = 10. This can be written as a point listing the value of x comma the value of y: (2, 10).
You can solve it as a literal equation in which you want to get x or y by itself in 2 steps. In this case, if solving for y (if you want to get y alone), add 8x to both sides. The -8x +8x cancel on the left side of the = sign, so on the left side you have 2y remaining, and the right side now says 12 +8x. Next, you must "undo" the multiplication of 2 times y by dividing both sides of the equation by 2. Note that on the left side of the equation you now have 2y divided by 2 which reduces to y. On the right side of the equation, divide both parts of 12 +8x by 2 to get 6 +4x. Now your final (answer) equation should read y = 6 + 4x.
If you wanted to get x alone, you would subtract the 2y from both sides (because it was originally positive). On the left side of the equals sign, you would have 2y - 8x - 2y, which equals 8y {just like 2 - 8 - 2 = 8}. On the right side of the = sign, you would have 12 - 2y. At this point your simplified equation would say
-8x = 12 - 2y. To get the x completely alone, you mus eliminate the -8 by dividing both sides of the equation by it. This yields
-8x / -8 which reduces to x on the left side of the equation, and on the right side you have (12 - 2y) / -8 = 12/-8 -2y/-8 =
-3/4 + y/4. The final equation in this case is x = -3/4 +y/4.

Answer 4

2y-8x = 12
2(y-4x)=12

Divide by 2

y-4x=6

Add each side by 4x (left side cancels out)

y = 6+4x

go back to original formula and replace y with 12+4x

2y-8x = 12

2(6+4x)-8x = 12
12+8x-8x=12
12 = 12

...wait, what just happened? Err...apparently, I haven't spruced up enough on this to give you accurate information on this sort of problem. However, consider the work I did a review on your solving problems ^^;;;

Answer 5

y=6, x=0

Answer 6

You can't get a single solution to one equation in two variables. All you can do is say that
y = 4x + 6, or x = -3/2 + y/4.

To solve a problem in 2 unknowns, you need two (independent) equations. To solve any problem in N unknowns, you need N equations.

Answer 7

I assume you need to isolate the y.

2y - 8x = 12
2y = 8x + 12
y = (8x + 12) / 2

Answer 8

2y = 8x +12 => y = 4x + 6

it's the equation of a line of slope m= 4 and y-intercept = 6

draw the line on the xy graph, it would be `the solution for this equation (all, points of x and y coordinates lying on the line)

Answer 9

This is an eqution with 2 unknowns so it cannot be solved but we can solve for y in terms of x

2y-8x = 12
or y-4x = 6
pr y= 4x+6
putting an arbritary value of x we find a value for y

Answer 10

I suppose you want all the pairs (x,y) for wich the equation holds.

one such pair would be (x=0,y=6), since 2*6 - 8*0 = 12.

all pair are cracterised by

(x, y=6+4x )

just choose an x, and calucalte the y

Answer 11

it have an infinty number of solution
solutions is { (x,y) , (x,y) є R² }
we put..
2y -8x = 12 devide/2
y - 4x = 6
y = 4x + 6
put x = 1.then y =10
put x = 2 then y =14
put x = 3 then x = 18 and so on.......
so
(1,10) (2,14) (3,18) are solutions (BUT NOT THE ONLY) for the gven equation