Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 17, 2023

Find the value of $q$ in the equation $-4 q - 3 = 1$ . The correct answer is B) $-15$ .

STEP 1

Assumptions
1. We are given the algebraic equation $-4q - 3 = 1$ .
2. We need to solve for the variable $q$ .

STEP 2

To isolate the variable $q$ , we first need to move the constant term on the left side of the equation to the right side. We do this by adding 3 to both sides of the equation.
$-4q - 3 + 3 = 1 + 3$

STEP 3

Simplify both sides of the equation.
$-4q = 4$

STEP 4

Now, to solve for $q$ , we need to divide both sides of the equation by the coefficient of $q$ , which is -4.
$\frac{-4q}{-4} = \frac{4}{-4}$

STEP 5

Simplify both sides of the equation to find the value of $q$ .
$q = -1$
The correct answer is A, $q = -1$ .

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