Solve for this equation. x-2/5=1/5

Mathematics

2 answers:

Studentka2010 [4]3 years ago

7 0

Answer:

3/5 or

0.6

Step-by-step explanation:

You could change these fractions to decimals, but you may not be convinced that the answer you get is the same as just using fractions. I'll start by using fractions.

x - 2/5 = 1/5 Add 2/5 to both sides

x - 2/5 + 2/5 = 1/5 + 2/5 The left side cancels to 0.

x = 1/5 + 2/5 The denominators (bottom the fraction) are the same. Just add the tops.

x = (1 + 2)/5

x = 3/5

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If you use your calculator to find 2/5 and 1/5, you can get the same answer as 3/5

0.4

By the same method, 1/5 = 0.2

Substitute into the original equation

x - 0.4 = 0.2 Add 0.4 to both sides

x - 0.4 +0.4 = 0.2 + 0.4 The left side reduces just to x

x = 0.2 +0.4

x = 0.6

If you let your calculator do the work, like this

0.6

The answers are the same.

WITCHER [35]3 years ago

7 0

Hey there!

$\bold{x-\frac{2}{5}=\frac{1}{5}}$

<em>Simplify each sides of your equation</em>
$\bold{x+(\frac{-2}{5})=\frac{1}{5}}$
<em>Do the opposite of $\bold{subtract}$ , which is $\bold{addition}$ ..so we have to $\bold{add}$ by $\bold{\frac{2}{5}}$ on each of your sides </em>
$\bold{x+(\frac{-2}{5})+\frac{2}{5}=\frac{1}{5}+\frac{2}{5}}$
$\bold{Cancel:\frac{-2}{5}+\frac{2}{5}}$
$\bold{Keep:\frac{1}{5}+\frac{2}{5}}$
<em>Solve the equation that we had to keep because it helps us solve for the " $\red\bold{x-value}$ "</em>
$\boxed{\boxed{\bold{Answer:x=\frac{3}{5}}}}$ $\checkmark$