Respuesta :

valleybritney

Answer:

[tex]b=\frac{-3}{4}a+2[/tex]

Step-by-step explanation:

a is the independent means a doesn't change its value when b change. So we will make b depends on a instead.

[tex]3a-7=-4b+1\\4b=-3a+7+1\\b=\frac{-3}{4}a+2[/tex]

deepakrai138

The equation will be [tex]b=\dfrac{-3}{4} a+2[/tex] , in which a is the independent variable.

Given equation,

[tex]3a-7=-4b+1[/tex].

We have to rearrange it so a becomes independent.

Now, [tex]3a-7=-4b+1[/tex]

[tex]-4b+1=3a-7[/tex]

[tex]-4b=3a-7-1\\[/tex]

[tex]-4b=3a-8[/tex]

[tex]b=\dfrac{3a}{-4} -\dfrac{8}{-4}[/tex]

So,

[tex]b=\dfrac{-3}{4} a+2[/tex]

Hence the equation representing the a as independent variable is [tex]b=\dfrac{-3}{4} a+2[/tex].

For more details on Independent variable follow the link:

https://brainly.com/question/967776

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