2x+1/4=−3/4x ummmmm

Answer 1

To start this problem you need to get the variables (x) on the same side of the equal sign.

To do this, subtract 2x from both sides.

This leaves you with 1⁄4 = -3⁄4 x - 2x

Now, in order to combine like terms we need common denominators.

I used 4 as my common denominator and got 1⁄4 = - 3⁄4 x - 8⁄4 x

Now combine like terms (the -3⁄4 x and the -8⁄4 x) and we get 1⁄4 = - 11⁄4 x

Next step is to divide both sides by - 11⁄4.

In order to do this, we actually multiply by the reciprocal (- 4⁄11 in this case).

Now we see - 4⁄11 × 1⁄4 = x

Solving this, we see x = - 1⁄11

We can check our answer by plugging it back into the original equation.

(2 × - 1⁄11) + 1⁄4 = -3⁄4 × - 1⁄11

-2⁄11 + 1⁄4 = 3⁄44

Using the common denominator of 44 we get -8⁄44 + 11⁄44 = 3⁄44

Which gives 3⁄44 = 3⁄44

Since this is a true statement we know our answer is correct.

Hope this helps!

Answer 2

We can start by moving everything to one side of the equation,

2x + 1/4 = -3/4x

2x + 1/4 + 3/4x = 0 [add 3/4x to both sides]

11/4x + 1/4 = 0 [combine like terms, 2 + 3/4 = 11/4]

11x + 1 = 0 [multiply both sides by 4]

11x = -1 [subtract 1 from both sides]

x = -1/11 [divide both sides by 11]

So the value of x that satisfies the original equation is -1/11