Solve the literal equation below for $c$.
$-3 x+2 c=-3$
Answer (2)
Add 3 x to both sides: 2 c = 3 x − 3 .
Divide both sides by 2: c = 2 3 x − 3 .
The solution for c is c = 2 3 x − 3 .
Explanation
Understanding the Problem We are given the equation − 3 x + 2 c = − 3 and asked to solve for c . This means we want to isolate c on one side of the equation.
Isolating the Term with c To isolate c , we first add 3 x to both sides of the equation: − 3 x + 2 c + 3 x = − 3 + 3 x
2 c = 3 x − 3
Solving for c Next, we divide both sides of the equation by 2: 2 2 c = 2 3 x − 3
c = 2 3 x − 3
Final Answer Therefore, the solution for c is c = 2 3 x − 3 .
Examples
In physics, this type of equation can represent a relationship between force, mass, and acceleration. If you know the force and mass, you can solve for the acceleration using a similar literal equation. For example, if the force is − 3 and the mass is related to x , you can find the acceleration c .
To solve for c in the equation − 3 x + 2 c = − 3 , we rearrange the equation to isolate c , resulting in c = 2 3 x − 3 .
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