Question

Can I please get some help with this math question

Answer 1

Answer:

$\frac{2}{5}x = \frac{7}{20}x + \frac{1}{4}$

$-\frac{3}{4} = -\frac{1}{20}x - \frac{1}{2}$

Step-by-step explanation:

Given,

$-\frac{3}{4} + \frac{2}{5}x = \frac{7}{20}x - \frac{1}{2}$

There are two possible ways to start solving for the value of x.

✔️The first is, add both sides by ¾

$-\frac{3}{4} + \frac{2}{5}x + \frac{3}{4} = \frac{7}{20}x - \frac{1}{2} + \frac{3}{4}$

$\frac{2}{5}x = \frac{7}{20}x + \frac{1}{4}$ (-½ + ¾ = ¼)

This equation represents the first possible way to begin with.

✔️The second is subtract both sides by ⅖x

$-\frac{3}{4} + \frac{2}{5}x - \frac{2}{5}x = \frac{7}{20}x - \frac{1}{2} - \frac{2}{5}$

$-\frac{3}{4} = \frac{7}{20}x - \frac{2}{5}x - \frac{1}{2}$

$-\frac{3}{4} = \frac{7 - 8}{20}x - \frac{1}{2}$

$-\frac{3}{4} = -\frac{1}{20}x - \frac{1}{2}$

This equation represents another way to start.