QuestionSolve for $u$ : $6u + 7u - 16 = -81$ . Simplify your answer. $u =$

Studdy Solution

STEP 1

Assumptions1. The equation is $6u +7u -16 = -81$ . We are solving for the variable $u$

STEP 2

First, we combine like terms on the left side of the equation.
$6u +7u -16 = -81$ becomes $13u -16 = -81$

STEP 3

Next, we isolate the term with $u$ on one side of the equation by adding $16$ to both sides of the equation.
$13u -16 +16 = -81 +16$ which simplifies to $13u = -65$

STEP 4

Finally, we solve for $u$ by dividing both sides of the equation by $13$ .
$u = \frac{-65}{13}$

STEP 5

implify the right side of the equation to find the value of $u$ .
$u = -5$ So, the solution to the equation is $u = -5$ .

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QuestionSolve for $u$ : $6u + 7u - 16 = -81$ . Simplify your answer. $u =$

Studdy Solution

STEP 1

Assumptions1. The equation is $6u +7u -16 = -81$ . We are solving for the variable $u$

STEP 2

First, we combine like terms on the left side of the equation.
$6u +7u -16 = -81$ becomes $13u -16 = -81$

STEP 3

Next, we isolate the term with $u$ on one side of the equation by adding $16$ to both sides of the equation.
$13u -16 +16 = -81 +16$ which simplifies to $13u = -65$

STEP 4

Finally, we solve for $u$ by dividing both sides of the equation by $13$ .
$u = \frac{-65}{13}$

STEP 5

implify the right side of the equation to find the value of $u$ .
$u = -5$ So, the solution to the equation is $u = -5$ .

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QuestionSolve for uuu: 6u+7u−16=−816u + 7u - 16 = -816u+7u−16=−81. Simplify your answer. u=u = u=

Studdy Solution

STEP 1

Assumptions1. The equation is 6u+7u−16=−816u +7u -16 = -816u+7u−16=−81 . We are solving for the variable uuu

STEP 2

First, we combine like terms on the left side of the equation.6u+7u−16=−816u +7u -16 = -816u+7u−16=−81becomes13u−16=−8113u -16 = -8113u−16=−81

STEP 3

Next, we isolate the term with uuu on one side of the equation by adding 161616 to both sides of the equation.13u−16+16=−81+1613u -16 +16 = -81 +1613u−16+16=−81+16which simplifies to13u=−6513u = -6513u=−65

STEP 4

Finally, we solve for uuu by dividing both sides of the equation by 131313.u=−6513u = \frac{-65}{13}u=13−65​

STEP 5

implify the right side of the equation to find the value of uuu.u=−5u = -5u=−5So, the solution to the equation is u=−5u = -5u=−5.

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve for $u$ : $6u + 7u - 16 = -81$ . Simplify your answer. $u =$

Assumptions1. The equation is $6u +7u -16 = -81$ . We are solving for the variable $u$

First, we combine like terms on the left side of the equation.
$6u +7u -16 = -81$ becomes $13u -16 = -81$

Next, we isolate the term with $u$ on one side of the equation by adding $16$ to both sides of the equation.
$13u -16 +16 = -81 +16$ which simplifies to $13u = -65$

Finally, we solve for $u$ by dividing both sides of the equation by $13$ .
$u = \frac{-65}{13}$

implify the right side of the equation to find the value of $u$ .
$u = -5$ So, the solution to the equation is $u = -5$ .