How do you solve 13= \frac { 4- b } { 3}?

3 Answers
May 29, 2018

b = -35

Explanation:

As per the question, we have

13 = (4 - b)/3

13 x 3 = (4 - b)/3 x 3 ... [Multiplying 3 on both the sides]

:.39 = (4 - b)/cancel3 x cancel3

:. 39 = 4 - b

:.39 - 4 = 4 - 4 - b ... [Subtracting 4 from both the sides]

:.35 = cancel4 cancel-4 - b

:. - b = 35

:. b = -35

Hence, the answer.

May 29, 2018

b=-35

Explanation:

"multiply both sides by 3"

3xx13=cancel(3)xx(4-b)/cancel(3)

39=4-b

"subtract 4 from both sides"

39-4=cancel(4)cancel(-4)-b

35=-b" or "b=-35

color(blue)"As a check"

Substitute this value into the right side of the equation and if equal to the left side then it is the solution.

(4-(-35))/3=(4+35)/3=39/3=13

b=-35" is the solution"

May 29, 2018

b=-35

Explanation:

Multiply by 3:

(13xx3)=(4-b)/cancel3

rArr 39=4-b

Bring the b to the other side to make is positive:

b+39=4

rArr b=-35