Respuesta :

4a + 2b = 10

you are solving for b

isolate the b

subtract 4a from both sides

4a (-4a) + 2b = 10 (-4a)

2b = 10 - 4a

divide 2 from both sides to isolate the b

2b(/2) = (10 - 4a)/2

b = (10 - 4a)/2

b = 5 - 2a

C) b = -2a + 5 is your answer

hope this helps

The expression [tex]4a+2b=10[/tex] can be rearranged as [tex]b=-2a+5[/tex]. Hence, the correct option is C.

Given:

An algebraic expression is [tex]4a+2b=10[/tex]

According to question,

Solving the expression:

[tex]4a+2b=10\\[/tex]

[tex]2b=10-4a[/tex]                     (Subtracting the expression [tex]4a[/tex] both sides )

[tex]\frac{2b}{2}=\frac{10-4a}{2}[/tex]                        (Dividing whole expression by [tex]2[/tex] )

[tex]b=5-2a\\b=-2a+5[/tex]                     (Rearranging the terms)

Therefore, the expression [tex]4a+2b=10[/tex] can be rearranged as [tex]b=-2a+5[/tex].

Hence, the correct option is [tex]C[/tex].

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