Determine if linear equation is so put into satandard form.

3x = 5y

7y = 2x + 5x

3/x + 4/y = 2

The standard form is Ax + By = C, where A > 0

so
first one: 3x - 5y = 0

second one: you do it
third one: multiply each term by xy
3y + 4x = xy
do you think that is linear?
Try graphing it

(by changing it to 3y - xy = -4x
y(3-x) = -4x
y = -4x/(3-x) or 4x/(x-3) you can easily find a few ordered pairs.)

To determine if a linear equation is in standard form, we need to write the equation in the form of:

Ax + By = C

Let's check each equation:

1. 3x = 5y

To convert this equation into standard form, move all the terms to the left side of the equation:

3x - 5y = 0

So, the equation 3x = 5y is in standard form.

2. 7y = 2x + 5x

Combine the x terms on the right side:

7y = 7x

Now, subtract 7x from both sides to bring the terms to the left side:

-7x + 7y = 0

So, the equation 7y = 2x + 5x is also in standard form.

3. 3/x + 4/y = 2

To put this equation in standard form, we need to eliminate the fractions. Multiply the entire equation by x and y to get rid of the denominators:

3xy + 4x = 2xy

Now, move all the terms to one side:

3xy - 2xy + 4x = 0

Combine like terms:

xy + 4x = 0

This equation is not in standard form since it contains the product of x and y. To be in standard form, the equation should only have x and y as separate terms without any product.

To summarize:
1. 3x = 5y is already in standard form.
2. 7y = 2x + 5x can be written as -7x + 7y = 0 (standard form).
3. 3/x + 4/y = 2 is not in standard form.