Given the expression;
3n - 10 = 5
We are to find the value of n from the expression
Step 1: Add the additive inverse of -10 to both sides. Note that the additive inverse of -10 is 10.
Adding 10 to both sides will give;
3n - 10 + 10 = 5 + 10
3n + 0 = 15
3n = 15
Step 2: Divide both sides by 3
3n = 15
3n/3 = 15/3
n = 5
Hence the value of n is 5
To check:
We will substitute n = 5 into the left hand side of the equation to see if we are going to arrive at the value on the right.
3n - 10
if n = 5
= 3(5) - 10
= 15 - 10
= 5 (right hand side)
This shows that the solution n = 5 is correct