QuestionFind the number of solutions for the equation: $9 - 13u + 8u = -5u - 6$ . Options: no solution, one solution, infinitely many solutions.

Studdy Solution

STEP 1

Assumptions1. The given equation is $9-13u+8u=-5u-6$ . We are looking for the number of solutions to this equation

STEP 2

First, we need to simplify the equation. We can do this by combining like terms on both sides of the equation.
$9 -13u +8u = -5u -6$

STEP 3

Combine the $u$ terms on the left side of the equation.
$9 -5u = -5u -6$

STEP 4

Now, we can see that the $u$ terms on both sides of the equation are the same. This means we can subtract $-u$ from both sides of the equation to eliminate the $u$ terms.
$9 = -6$

STEP 5

We can see that this equation is not true. Therefore, the original equation has no solution.
The equation has no solution.

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QuestionFind the number of solutions for the equation: $9 - 13u + 8u = -5u - 6$ . Options: no solution, one solution, infinitely many solutions.

Studdy Solution

STEP 1

Assumptions1. The given equation is $9-13u+8u=-5u-6$ . We are looking for the number of solutions to this equation

STEP 2

First, we need to simplify the equation. We can do this by combining like terms on both sides of the equation.
$9 -13u +8u = -5u -6$

STEP 3

Combine the $u$ terms on the left side of the equation.
$9 -5u = -5u -6$

STEP 4

Now, we can see that the $u$ terms on both sides of the equation are the same. This means we can subtract $-u$ from both sides of the equation to eliminate the $u$ terms.
$9 = -6$

STEP 5

We can see that this equation is not true. Therefore, the original equation has no solution.
The equation has no solution.

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QuestionFind the number of solutions for the equation: 9−13u+8u=−5u−69 - 13u + 8u = -5u - 69−13u+8u=−5u−6. Options: no solution, one solution, infinitely many solutions.

Studdy Solution

STEP 1

Assumptions1. The given equation is 9−13u+8u=−5u−69-13u+8u=-5u-69−13u+8u=−5u−6 . We are looking for the number of solutions to this equation

STEP 2

First, we need to simplify the equation. We can do this by combining like terms on both sides of the equation.9−13u+8u=−5u−69 -13u +8u = -5u -69−13u+8u=−5u−6

STEP 3

Combine the uuu terms on the left side of the equation.9−5u=−5u−69 -5u = -5u -69−5u=−5u−6

STEP 4

Now, we can see that the uuu terms on both sides of the equation are the same. This means we can subtract −u-u−u from both sides of the equation to eliminate the uuu terms.9=−69 = -69=−6

STEP 5

We can see that this equation is not true. Therefore, the original equation has no solution.The equation has no solution.

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Studdy solves anything!

Start learning now

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

QuestionFind the number of solutions for the equation: $9 - 13u + 8u = -5u - 6$ . Options: no solution, one solution, infinitely many solutions.

Assumptions1. The given equation is $9-13u+8u=-5u-6$ . We are looking for the number of solutions to this equation

First, we need to simplify the equation. We can do this by combining like terms on both sides of the equation.
$9 -13u +8u = -5u -6$

Combine the $u$ terms on the left side of the equation.
$9 -5u = -5u -6$

Now, we can see that the $u$ terms on both sides of the equation are the same. This means we can subtract $-u$ from both sides of the equation to eliminate the $u$ terms.
$9 = -6$

We can see that this equation is not true. Therefore, the original equation has no solution.
The equation has no solution.