what is the value of k? if the equation is -3(k + 7) - 5k + 4 and the answer is 23
Answers
Given:-
- It is a linear equation in 1 variable
To Find:-
- the Value of k
For Information:-
- The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers,
- and x is a variable and has only one solution.
Solution:-
Now , We can check the value of K , by putting in the equation
Hence Verified also
Answer:
k = -5
Step-by-step explanation:
-3(k+7) - 5k +4 = 23
First, you multiply the bracket by -3 ( to open up the bracket, following the order of PEDMAS - Parentheses, Exponents, Division, Multiplication, Addition and Subtraction) to solve that section.
Which is,
-3k - 21 - 5k + 4 = 23
Now to add up the whole equation, we'll have:
-8k - 21 + 4 = 23,
-8k - 17 = 23
- 17 goes to the other side, and the equation becomes
-8k = 23+17
-8k = 40
k = 40/-8
k = -5
To check your answer
substitute -5 for k ( i.e -5 = k)
-3 (-5 + 7 ) - 5(-5) + 4 = 23
-3(2) + 25 +4 = 23
-6 + 25 + 4 = 23
19 + 4 = 23
Since, 19+4 = 23
Therefore, 23 = 23
Therefore, k = -5 is correct.