Question

practice problems (part 2)
#5
\\(\frac{n}{4} + 1 = 5\\)
what is the first step to solve equation #5?
add 4 to both sides
add 1 to both sides
subtract 1 from both sides
multiply both sides by 4
what is the second step to solve equation #5
subtract 1 from both sides
multiply both sides by 4
add 4 to both sides
add 1 to both sides
what is the solution to equation #5?
n = 14
n = 20
n = 16
none of the above

Explanation:

First Step Question

To solve the equation $\frac{n}{4}+1 = 5$, we want to isolate the term with the variable. The first step is to get rid of the constant term (1) on the left side. Using the subtraction property of equality, we subtract 1 from both sides to cancel out the +1.

After subtracting 1 from both sides (first step), we have $\frac{n}{4}=4$. Now, to solve for $n$, we need to get rid of the denominator 4. Using the multiplication property of equality, we multiply both sides by 4 to isolate $n$.

Step1: Subtract 1 from both sides

$\frac{n}{4}+1 - 1=5 - 1$
$\frac{n}{4}=4$

Step2: Multiply both sides by 4

$\frac{n}{4}\times4 = 4\times4$
$n = 16$

Answer:

C. Subtract 1 from both sides

Second Step Question