Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Oct 22, 2023

Solve for $q$ in the equation $3p + 4 = 6 - q$ . Simplify the solution.

STEP 1

Assumptions1. The equation is $3p +4 =6 - q$ . We need to rearrange this equation to make $q$ the subject

STEP 2

First, we need to isolate $q$ on one side of the equation. We can do this by subtracting $p$ and $4$ from both sides of the equation.
$6 - q =p +4$ becomes $6 - q -p -4 =0$

STEP 3

implify the left side of the equation.
$2 - q -3p =0$

STEP 4

Next, we will make $q$ the subject of the equation by moving $-3p$ to the other side of the equation.
$2 - q =3p$

STEP 5

Finally, to make $q$ the subject, we multiply the equation by $-1$ .
$q = -2 +3p$ So, the equation $3p +4 = - q$ rearranged to make $q$ the subject is $q = -2 +3p$ .

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