Respuesta :

ayah1
0.5 = 0.4y - 0.25x                               (add 0.25x to each side)

0.2x + 0.5 = 0.4y - 0.2x + 0.2x

0.2x + 0.5 = 0.4y                               (divide 0.4 from each side)

[tex] \frac{0.25x+0.5}{0.4} = \frac{0.4y}{0.4} [/tex]

0.25x/0.4 + 0.5/0.4 = y

0.625x + 1.25 = y

Answer:

The value of the equation is [tex]y=\frac{5}{4}+\frac{5x}{8}[/tex].

Step-by-step explanation:

Consider the provided equation.

[tex]0.5=0.4y-0.25x[/tex]

We need to solve the provided equation for y.

Add 0.25x both side.  

[tex]0.5+0.25x=0.4y-0.25x+0.25x[/tex]

[tex]0.5+0.25x=0.4y[/tex]

[tex]0.4y=0.5+0.25x[/tex]

Divide both sides by 0.4.

[tex]\frac{0.4y}{0.4}=\frac{0.5+0.25x}{0.4}[/tex]

[tex]y=\frac{0.5}{0.4}+\frac{0.25x}{0.4}[/tex]

[tex]y=\frac{5}{4}+\frac{25x}{40}[/tex]

[tex]y=\frac{5}{4}+\frac{5x}{8}[/tex]

Hence, the value of the equation is [tex]y=\frac{5}{4}+\frac{5x}{8}[/tex].

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