Algebra II Question

Question

Solve for x: k+c/x + ny/a =m

Answer 1

k + c/x + ny/a = m

we want to isolate the term that contains x, the c/x term. To do so, we can subtract the other two terms from both sides of the equation. This yields

c/x = m - k - ny/a. Now multiply both sides by x, yielding

c = x ( m - k - ny/a ). Now divide both sides by (m - k - ny/a).

finally, we arrive at our desired result, that is,

x = c / (m - k - ny/a). This is a complex fraction, a fraction within a fraction. To get rid of this, we can multiply the top and bottom by a. This gives us a more clear answer, which is

x = ac / ( am - ak - ny).

Answer 2

Answer 3

To solve for x, you want to rewrite the equation so that you get x=[YOUR ANSWER HERE].

So we have the equation k + c/x + ny/a = m. Generally, the best way to solve for x is to isolate the term with x in it from everything else. To do this, we're going to leave c/x alone on the left-hand side and bring the other two terms to the right-hand side. To this end, let's subtract k and ny/a from both sides:

k + c/x + ny/a - k - ny/a = m - k - ny/a

= c/x = m - k - ny/a.

Now, we just have to get that x separate from the rest of the terms. We have a 1/x on the left-hand side, so let's multiply both sides of the equation by x:

(c/x)(x) = (m-k-ny/a)(x)

c = (m-k-ny/a)x

Now all that's left to do to get an equation in the form of "x = ?" is to divide both sides by (m-k-ny/a):

c/(m-k-ny/a) = x.

Therefore, x = c/(m-k-ny/a).

These kinds of questions are rather tricky to understand at first, but they definitely get easier with practice. Soon enough, you'll be solving these questions in no time at all!