Question

what is the value of k? if the equation is -3(k + 7) - 5k + 4 and the answer is 23

Answer 1

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Given:-

$3(k + 7) - 5k + 4 = 23$

• 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:-

$3(k + 7) - 5k + 4 = 23$

$= > 3k + 21 - 5k + 4 = 23$

$= > - 2k + 25 = 23$

$= > - 2k = 23 - 25$

$= > - 2k = - 2$

$= > k = \frac{ - 2}{ - 2}$

$= > k = 1$

Now , We can check the value of K , by putting in the equation

$3(k + 7) - 5k + 4$

$= > 3(1 + 7) - 5 \times 1 + 4$

$= > 24 - 5 + 4 = 23$

Hence Verified also

Answer 2

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.