For a given input value a, the function f outputs a value b to satisfy the following equation.
-3a+6b=a+4b
Write a formula for f(a) in terms of a

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Answer:

ok

Step-by-step explanation:

-3a + 6b = a + 4b

we move both values to the same side

6b – 4b = a + 3a

subtracting 6 from 4 gives us 4, and a 1 plus 3 gives us 4

2b = 4a

divide 4 on both sides to solve for a and to get a by itself.

1/2=a

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Hey there!

Let's solve for a.

[tex] \fbox{−3a+6b=a+4b}[/tex]

Step 1: Add -a to both sides.

[tex] \fbox{−3a+6b+−a=a+4b+−a}[/tex]

[tex] \fbox{−4a+6b=4b}[/tex]

Step 2: Add -6b to both sides.

[tex] \fbox{−4a+6b+−6b=4b+−6b}[/tex]

[tex] \fbox{−4a=−2b}[/tex]

Step 3: Divide both sides by -4.

[tex] \fbox{−4a/−4 = −2b/−4}[/tex]

[tex] \fbox{a= 1/2b}[/tex]

Answer:

[tex] \fbox{a= 1/2b}[/tex]

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