Final answer:
We can solve an equation for a variable without a numerical answer by expressing it in terms of algebraic variables, which shows the relationship between them.
Step-by-step explanation:
We can solve an equation for a variable and still not have a numerical answer by using algebraic variables. When solving equations, it's possible to rearrange them to solve for one variable in terms of others without having the numerical values for those other variables. This process utilizes algebra to express the relationship between the variables.
For example, if we have an equation like 2x + 3y = 7 and we want to solve for x, we can rearrange the equation to get x = (7 - 3y)/2. We now have x expressed in terms of y, but without a specific value for y, x remains an expression with an algebraic variable.
It's important to note that math is not just about memorizing rules; it's about understanding relationships and logic. By knowing this, you can solve problems by manipulating equations to uncover the desired variables. And remember, always check your solution to see if it makes logical sense within the context of the problem.