Mika used these steps to solve the equation 5x−12=−2+5(x−2). Which choice describes the meaning of her result, −12=−12?
Answers
now, -2 + 5 (x-2) is the choice who describes the meaning of her result , -12 = -12
The options for this question are missing:
Here are the missing options:
a. The result is not correct because the solution should be a positive integer
b. No values of x
make the equation true.
c. the solution is x = -12
d. all values of x make the equation true
Answer:
5x−12=−2+5(x−2)
multiply 5 by all in parentheses first
5x - 12= -2 + (5*x) + (5*-2)
5x - 12= -2 + 5x - 10
5x - 12= 5x - 12
if you subtract 5x from one side and add 12 to the other the solution is:
0= 0
This equation is one that is always true. No matter what number you put in for x, it will always be true.
Example:
5x - 12= 5x - 12
5(4) - 12= 5(4) - 12
20 - 12= 20 - 12
8= 8
Example:
5(-100) - 12= 5(-100) - 12
-500 - 12= -500 - 12
-512= -512
This will happen no matter what number x is.
If there is any confusion please leave a comment below.