QuestionFind $b$ in the equation: $43 - \frac{b}{3} = 59$ .

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $43-\frac{b}{3}=59$ . . We are solving for the variable $b$ .

STEP 2

To isolate $b$ on one side of the equation, we first need to get rid of the $43$ on the left side. We can do this by subtracting $43$ from both sides of the equation.
$43-\frac{b}{}-43 =59-43$

STEP 3

implify both sides of the equation.
$-\frac{b}{3} =59-43$

STEP 4

Calculate the right side of the equation.
$-\frac{b}{3} =16$

STEP 5

To isolate $b$ , we need to get rid of the $-\frac{1}{3}$ coefficient. We can do this by multiplying both sides of the equation by $-3$ .
$-3 \times -\frac{b}{3} = -3 \times16$

STEP 6

implify both sides of the equation.
$b = -3 \times16$

STEP 7

Calculate the value of $b$ .
$b = -3 \times16 = -48$ So, $b=-48$ .

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