Question

Write the equation in standard form.
- (1/2x + 2y)= 2/3

I've gotten to -1/2x - 2y = 2/3 and I tried multiplying the equation by 3 to get rid of the fractions and it's not working out for me :/

Answer 1

Is this --> (1/2x supposed to be (1/2) x or 1/(2x) ? I don't know what is in the numerator and what is in the denominator. It makes a major difference in the solution.

Answer 2

@Directrix It's (1/2)x

Answer 3

- (1/2) x + 2y= 2/3
Or is it:
- [ (-1/2) x + 2y] = 2/3
-----------
Does the negative go just with the (1/2) x or does it also go with the 2y? Once we know that, we can crank out the solution.
@dellzasaur

Answer 4

It's - [ (1/2) x + 2y] = 2/3

(no negative sign on (1/2)x in the original problem)

the neg is distributed to both the 1/2 and the 2y I'm pretty sure @Directrix

Answer 5

First, we need the format for the standard form of a linear equation:

Standard Form of a Linear Equation: The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, A> or =0, and A and B are not both zero.
SAMPLE Problem:
Write y + 5 = (-5/4)( x - 2) in standard form.

y + 5 = (-5/4)(x - 2)

4(y + 5) = 4(-5/4)(x - 2)

4y + 20 = -5(x - 2)

4y + 20 = -5x + 10

4y = -5x - 10

5x + 4y = -10

The standard form of the equation is 5x + 4y = -10

Answer 6

- [ (1/2) x + 2y] = 2/3
--------------------
- (1/2) x - 2y = 2/3 --> distributed the negative
Multiply through by (-2)
1x + 4y = -4/3 --> pretty sure answer.

Answer 7

@Directrix Omggg thank you so much! Really helps a lot. Just for the last answer you gave me, 1x + 4y = -4/3, I'm not allowed to have fractions included in my standard form (my teacher is complicated) haha, that's what I got so confused about.

Answer 8

I'm not allowed to have fractions included in my standard form
-----
1x + 4y = -4/3 --> pretty sure answer.
Let's multiply by 3 for your teacher.
3x + 12y = -4 --> standard form--> no fractions

Standard Form: the standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers.
-----
I hope that negative sign business is correctly stated in the original problem.

Answer 9

@Directrix Awesome!! Thank you so much. Makes a lot of sense :) I'm pretty sure the negative sign is in it's right place! I really appreciate it! Thanks again!

Answer 10

Alrighty, then.