QuestionSolve the equation: $3y + 1 = -14$ . What is the solution set?

Studdy Solution

STEP 1

Assumptions1. The equation is $3y +1 = -14$ . We are solving for $y$

STEP 2

First, we need to isolate $y$ on one side of the equation. We can do this by subtracting1 from both sides of the equation.
$y +1 -1 = -14 -1$

STEP 3

implify the equation.
$3y = -14 -1$

STEP 4

Calculate the right side of the equation.
$3y = -15$

STEP 5

Now, to solve for $y$ , we need to divide both sides of the equation by3.
$y = \frac{-15}{3}$

STEP 6

Calculate the value of $y$ .
$y = -5$ The solution set is $\{-5\}$ .

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QuestionSolve the equation: $3y + 1 = -14$ . What is the solution set?

Studdy Solution

STEP 1

Assumptions1. The equation is $3y +1 = -14$ . We are solving for $y$

STEP 2

First, we need to isolate $y$ on one side of the equation. We can do this by subtracting1 from both sides of the equation.
$y +1 -1 = -14 -1$

STEP 3

implify the equation.
$3y = -14 -1$

STEP 4

Calculate the right side of the equation.
$3y = -15$

STEP 5

Now, to solve for $y$ , we need to divide both sides of the equation by3.
$y = \frac{-15}{3}$

STEP 6

Calculate the value of $y$ .
$y = -5$ The solution set is $\{-5\}$ .

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QuestionSolve the equation: 3y+1=−143y + 1 = -143y+1=−14. What is the solution set?

Studdy Solution

STEP 1

Assumptions1. The equation is 3y+1=−143y +1 = -143y+1=−14 . We are solving for yyy

STEP 2

First, we need to isolate yyy on one side of the equation. We can do this by subtracting1 from both sides of the equation.y+1−1=−14−1y +1 -1 = -14 -1y+1−1=−14−1

STEP 3

implify the equation.3y=−14−13y = -14 -13y=−14−1

STEP 4

Calculate the right side of the equation.3y=−153y = -153y=−15

STEP 5

Now, to solve for yyy, we need to divide both sides of the equation by3.y=−153y = \frac{-15}{3}y=3−15​

STEP 6

Calculate the value of yyy.y=−5y = -5y=−5The solution set is {−5}\{-5\}{−5}.

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QuestionSolve the equation: $3y + 1 = -14$ . What is the solution set?

Assumptions1. The equation is $3y +1 = -14$ . We are solving for $y$

First, we need to isolate $y$ on one side of the equation. We can do this by subtracting1 from both sides of the equation.
$y +1 -1 = -14 -1$

implify the equation.
$3y = -14 -1$

Calculate the right side of the equation.
$3y = -15$

Now, to solve for $y$ , we need to divide both sides of the equation by3.
$y = \frac{-15}{3}$

Calculate the value of $y$ .
$y = -5$ The solution set is $\{-5\}$ .