QuestionSolve for $k$ in the equation: $-10 k + 1 = 40 - 7 k$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $-10k +1 =40 -7k$ . We are solving for $k$

STEP 2

First, we need to isolate the terms with $k$ on one side of the equation. We can do this by adding $10k$ to both sides of the equation.
$-10k +10k +1 =40 -7k +10k$

STEP 3

implify the equation.
$1 =40 +3k$

STEP 4

Next, we need to isolate $k$ on one side of the equation. We can do this by subtracting $40$ from both sides of the equation.
$1 -40 =40 -40 +3k$

STEP 5

implify the equation.
$-39 =3k$

STEP 6

Finally, to solve for $k$ , we can divide both sides of the equation by $3$ .
$k = -39 /3$

STEP 7

Calculate the value of $k$ .
$k = -39 /3 = -13$ The solution to the equation is $k = -13$ .

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QuestionSolve for $k$ in the equation: $-10 k + 1 = 40 - 7 k$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $-10k +1 =40 -7k$ . We are solving for $k$

STEP 2

First, we need to isolate the terms with $k$ on one side of the equation. We can do this by adding $10k$ to both sides of the equation.
$-10k +10k +1 =40 -7k +10k$

STEP 3

implify the equation.
$1 =40 +3k$

STEP 4

Next, we need to isolate $k$ on one side of the equation. We can do this by subtracting $40$ from both sides of the equation.
$1 -40 =40 -40 +3k$

STEP 5

implify the equation.
$-39 =3k$

STEP 6

Finally, to solve for $k$ , we can divide both sides of the equation by $3$ .
$k = -39 /3$

STEP 7

Calculate the value of $k$ .
$k = -39 /3 = -13$ The solution to the equation is $k = -13$ .

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QuestionSolve for kkk in the equation: −10k+1=40−7k-10 k + 1 = 40 - 7 k−10k+1=40−7k.

Studdy Solution

STEP 1

Assumptions1. The equation is −10k+1=40−7k-10k +1 =40 -7k−10k+1=40−7k . We are solving for kkk

STEP 2

First, we need to isolate the terms with kkk on one side of the equation. We can do this by adding 10k10k10k to both sides of the equation.−10k+10k+1=40−7k+10k-10k +10k +1 =40 -7k +10k−10k+10k+1=40−7k+10k

STEP 3

implify the equation.1=40+3k1 =40 +3k1=40+3k

STEP 4

Next, we need to isolate kkk on one side of the equation. We can do this by subtracting 404040 from both sides of the equation.1−40=40−40+3k1 -40 =40 -40 +3k1−40=40−40+3k

STEP 5

implify the equation.−39=3k-39 =3k−39=3k

STEP 6

Finally, to solve for kkk, we can divide both sides of the equation by 333.k=−39/3k = -39 /3k=−39/3

STEP 7

Calculate the value of kkk.k=−39/3=−13k = -39 /3 = -13k=−39/3=−13The solution to the equation is k=−13k = -13k=−13.

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QuestionSolve for $k$ in the equation: $-10 k + 1 = 40 - 7 k$ .

Assumptions1. The equation is $-10k +1 =40 -7k$ . We are solving for $k$

First, we need to isolate the terms with $k$ on one side of the equation. We can do this by adding $10k$ to both sides of the equation.
$-10k +10k +1 =40 -7k +10k$

implify the equation.
$1 =40 +3k$

Next, we need to isolate $k$ on one side of the equation. We can do this by subtracting $40$ from both sides of the equation.
$1 -40 =40 -40 +3k$

implify the equation.
$-39 =3k$

Finally, to solve for $k$ , we can divide both sides of the equation by $3$ .
$k = -39 /3$

Calculate the value of $k$ .
$k = -39 /3 = -13$ The solution to the equation is $k = -13$ .