What is the answer to (13-b)/6 =(2-0.5b)/4 ?

The answer to (13-b)/6 =(2-0.5b)/4 is b=40

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(13-b)/6 =(2-0.5b)/4

\frac{13 - b}{6} = \frac{2 - 0.5 b}{4}

b = 40

Solution steps

\frac{13 - b}{6} = \frac{2 - 0.5 b}{4}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(13 - b) \cdot 4 = 6 (2 - 0.5 b)

Expand

(13 - b) \cdot 4 : 52 - 4 b

Expand

6 (2 - 0.5 b) : 12 - 3 b

52 - 4 b = 12 - 3 b

Move

52

to the right side

- 4 b = - 3 b - 40

Move

3 b

to the left side

- b = - 40

Divide both sides by

- 1

b = 40

2 (4 x + 7) = 62

x, 5 x + 6 y = 18

x, (y - 1) 2 = 16 (x - 1)

2 x = - 234

\frac{5}{4} y = - 9

What is the answer to (13-b)/6 =(2-0.5b)/4 ?
The answer to (13-b)/6 =(2-0.5b)/4 is b=40
Solve for b: (13-b)/6 =(2-0.5b)/4
The solution is b=40