Final answer:
To find ns, substitute the given values of nq and nr into the equation and solve for x. Then substitute x back into the equation to find ns, which is equal to 4.
Step-by-step explanation:
To find ns, we need to substitute the given values of nq and nr into the equation. Let's start by substituting nq into the equation:
ns = 2x
Now, let's substitute nr into the equation:
ns = 3x - 2
Since both equations represent ns, we can set them equal to each other and solve for x:
2x = 3x - 2
To isolate the variable, let's subtract 2x from both sides:
2x - 2x = 3x - 2 - 2x
Simplifying:
0 = x - 2
Finally, let's solve for x by adding 2 to both sides:
0 + 2 = x - 2 + 2
Therefore, the value of x is 2. Now we can substitute x back into either equation to find ns. Let's use the first equation:
ns = 2x = 2(2) = 4
So, the value of ns is 4.