QuestionClassify the equation as a contradiction, identity, or conditional: $1.5(x-4)+11=1.5 x+5$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $1.5(x-4)+11=1.5 x+5$ . . We need to identify whether the equation is a contradiction, identity, or conditional equation.

STEP 2

First, let's simplify the equation. Start by distributing the $1.5$ on the left side of the equation.
$1.5(x-4)+11 =1.5x +5$ $1.5x -6 +11 =1.5x +5$

STEP 3

Combine like terms on both sides of the equation.
$1.5x +5 =1.5x +5$

STEP 4

Subtract $1.x$ from both sides of the equation.
$1.x -1.x + =1.x -1.x +$ $=$

STEP 5

The equation simplifies to $5 =5$ , which is always true. Therefore, the equation is an identity. An identity is an equation that is true for all values of the variable.
The equation $1.5(x-4)+11=1.5 x+5$ is an identity.

Was this helpful?

QuestionClassify the equation as a contradiction, identity, or conditional: $1.5(x-4)+11=1.5 x+5$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $1.5(x-4)+11=1.5 x+5$ . . We need to identify whether the equation is a contradiction, identity, or conditional equation.

STEP 2

First, let's simplify the equation. Start by distributing the $1.5$ on the left side of the equation.
$1.5(x-4)+11 =1.5x +5$ $1.5x -6 +11 =1.5x +5$

STEP 3

Combine like terms on both sides of the equation.
$1.5x +5 =1.5x +5$

STEP 4

Subtract $1.x$ from both sides of the equation.
$1.x -1.x + =1.x -1.x +$ $=$

STEP 5

The equation simplifies to $5 =5$ , which is always true. Therefore, the equation is an identity. An identity is an equation that is true for all values of the variable.
The equation $1.5(x-4)+11=1.5 x+5$ is an identity.

Get Studdy

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.

QuestionClassify the equation as a contradiction, identity, or conditional: 1.5(x−4)+11=1.5x+51.5(x-4)+11=1.5 x+51.5(x−4)+11=1.5x+5.

Studdy Solution

STEP 1

Assumptions1. The given equation is 1.5(x−4)+11=1.5x+51.5(x-4)+11=1.5 x+51.5(x−4)+11=1.5x+5. . We need to identify whether the equation is a contradiction, identity, or conditional equation.

STEP 2

First, let's simplify the equation. Start by distributing the 1.51.51.5 on the left side of the equation.1.5(x−4)+11=1.5x+51.5(x-4)+11 =1.5x +51.5(x−4)+11=1.5x+51.5x−6+11=1.5x+51.5x -6 +11 =1.5x +51.5x−6+11=1.5x+5

STEP 3

Combine like terms on both sides of the equation.1.5x+5=1.5x+51.5x +5 =1.5x +51.5x+5=1.5x+5

STEP 4

Subtract 1.x1.x1.x from both sides of the equation.1.x−1.x+=1.x−1.x+1.x -1.x + =1.x -1.x +1.x−1.x+=1.x−1.x+= ==

STEP 5

The equation simplifies to 5=55 =55=5, which is always true. Therefore, the equation is an identity. An identity is an equation that is true for all values of the variable.The equation 1.5(x−4)+11=1.5x+51.5(x-4)+11=1.5 x+51.5(x−4)+11=1.5x+5 is an identity.

Get Studdy

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.

QuestionClassify the equation as a contradiction, identity, or conditional: $1.5(x-4)+11=1.5 x+5$ .

Assumptions1. The given equation is $1.5(x-4)+11=1.5 x+5$ . . We need to identify whether the equation is a contradiction, identity, or conditional equation.

First, let's simplify the equation. Start by distributing the $1.5$ on the left side of the equation.
$1.5(x-4)+11 =1.5x +5$ $1.5x -6 +11 =1.5x +5$

Combine like terms on both sides of the equation.
$1.5x +5 =1.5x +5$

Subtract $1.x$ from both sides of the equation.
$1.x -1.x + =1.x -1.x +$ $=$

The equation simplifies to $5 =5$ , which is always true. Therefore, the equation is an identity. An identity is an equation that is true for all values of the variable.
The equation $1.5(x-4)+11=1.5 x+5$ is an identity.