Final Answer:
The equation
can be solved for (v) by dividing both sides of the equation by 7. This yields
, which is the final answer to the given equation.
Explanation:
The given equation (11 = 7v) is a linear equation in one variable, and the goal is to solve for the variable (v). In the first step, we isolate (v) by dividing both sides of the equation by 7. This operation is applied to both sides to maintain the equality. The result is
, representing the solution to the equation.
In the context of linear equations, the objective is to manipulate the equation in a way that allows us to express the variable on its own. Dividing by 7 in this instance is the inverse operation of multiplication by 7, effectively canceling out the coefficient of (v), which is 7. This process adheres to the fundamental principle that whatever operation is performed on one side of the equation must also be performed on the other to maintain equivalence.
Understanding and applying these fundamental algebraic principles are crucial in solving linear equations. The solution
signifies the value of (v) that satisfies the original equation. It's noteworthy that in solving linear equations, the ultimate aim is to ascertain the specific value of the variable that makes the equation true.