Respuesta :

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         10a - 5b = 25
10a - 10a - 5b = 25 - 10a
                 -5b = -10a + 25
                  -5            -5
                    b = 2a - 5

The solution of the equation for b is [tex]b = 2a - 5[/tex] (b = 2a - 5)

To solve for b, that means we should make b the subject of the given equation.

From the given equation 10a-5b=25,

[tex]10a-5b=25[/tex]

  • First, Add 5b to both sides of the equation

[tex]10a-5b+5b=25+5b[/tex]

We get

[tex]10a=25+5b[/tex]

  • Then, subtract 25 from both sides of the equation

[tex]10a-25=25-25+5b[/tex]

We get

[tex]10a-25=5b[/tex]

That is,

[tex]5b= 10a-25[/tex]

  • Now, divide both sides of the equation by 5

[tex]\frac{5b}{5} = \frac{10a-25}{5}[/tex]

[tex]b= \frac{10a}{5}-\frac{25}{5}[/tex]

[tex]b = 2a - 5[/tex]

Hence, the solution of the equation for b is [tex]b = 2a - 5[/tex] (b = 2a - 5)

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