Question

Simplify and solve the linear equation 3(k - 3) = 5(2k + 1)​

Answer 1

Answer:

The value of k is -2 .

Step-by-step explanation:

Given -

$3(k - 3) = 5(2k + 1)$

To find -

The value of k

Solution -

Given equation,

$3(k - 3) = 5(2k + 1)$

Multiply the the numbers with the bracket we get

$3k - 9= 10k + 5$

The numbers having same variables are get add or substract.

Shift the 10k to left and 9 to right it will becomes

$3k-10k=5+9$

$-7k=14$

Divide both side by -7 we get

$k= -2$

∴ The value of k is -2 .

By putting the value of k in the given equation you can get LHS = RHS

So, we can say that our ans is right.

Answer 2

Answer:

The value of $K$ is $-2$.

Step-by-step explanation:

Given : The linear equation is, $3(K-3)=5(2K+1)$

To find : The value of $K$.

Solution :

• The given linear equation is, $3(K-3)=5(2K+1)$
• We have to find the value of $K$.
• To solve the given linear equation, we have to follow BODMAS rule.
• It states that while solving any equation, first solve Brackets (B), Order (O), Division (D), Multiplication (M), Addition (A) and Subtraction (S).
• Applying this rule in given equation, we get

        $3(K-3)=5(2K+1)$

        ∴  $3k-9=10K+5$

          ∴ $3k-10K=5+9$

                 ∴ $-7K=14$

                   ∴ $K = \frac{-14}{7}$

                   ∴ $K=-2$

• ∴ The value of $K$ is $-2$.