Write in standard form using only integers

Question

Write in standard form using only integers. 1/2y=3/5x+2

Answer 1

So James B.,

What integer can you multiply through the entire equation such that only integer values result? In math terms, that's the "Least Common Multiple" of 2 and 5, the respective denominators which must be eliminated. You do this whenever you must add fractions, in this case (1/2) and (3/5). But here you are not adding the fractions, just "multiplying them away". It's called "Least" Common Multiple, incidentally, because if you then multiplied your correct equation by, say, 2 throughout, you would still have a mathematically valid equation -- but it would by definition NOT be in standard form any more (because you could divide through to have smaller coefficients).

-- Cheers, --Mr. d.

Answer 2

y/2 = 3x/5 + 2

Put into Ax + By = C form

Multiply through by 2

y = 6x/5 + 4

Multiply through by 5

5y = 6x + 20

Put into standard form

6x - 5y = -20

Answer 3

Standard form for equations of this type is Ax + By = C. so we have to alter the equation you have.

Starting with 1/2y=3/5x+2, multiply both side of equation by 2 to clear one of the fractions.

y = 6/5 x + 4. Now multiply both sides by 5 to get

5y = 6x + 20 Subtract 6x from both sides

-6x + 5y = 20 This is in standard form.

Answer 4

y/2 = 3x/5 + 2 multiply by 10 to get

5y = 6x + 20

BUT, the way the problem is written it's really

1/2y = 3/5x + 2 with variables in denominators

multiply by 10xy to get

5x = 30y + 20xy or

5x -20xy - 30y = 0