Question

Make an equation and then solve it, show all your work.

Answer 1

The equation appears to be made already.

Using the Order of Operations, consider what operations are being done to the variable "c". They are
• divide c by 4
• add -5 to the quotient.

To find the value of "c", we "undo" these operations in reverse order. To undo the addition of a number, we add the opposite of the number. So, we will first
• add 5 to the equation
This gives
$\dfrac{c}{4}-5+5=4+5\\\\\dfrac{c}{4}+0=9\\\\\dfrac{c}{4}=9$

Now, the next operation that we need to undo is the division by 4. We can undo that by multiplying the equation by 4. So, we will next
• multiply the equation by 4
This gives
$4\cdot \dfrac{c}{4}=4\cdot 9\\\\c\cdot \dfrac{4}{4}=36\\\\c \cdot 1=36\\\\c=36$

The solution is c = 36.