Question Solve the linear equation $5x + 6x = 23$ and express the solution as a whole number or simplified fraction.

Studdy Solution

STEP 1

Assumptions
1. The equation to solve is $5x + 6x = 23$
2. The variable $x$ is what we are solving for
3. The solution can be a whole number or an improper fraction
4. If the solution is a fraction, it should be simplified if possible

STEP 2

First, combine like terms on the left side of the equation.
$5x + 6x = 11x$
So, the equation becomes:
$11x = 23$

STEP 3

To isolate $x$ , divide both sides of the equation by 11.
$\frac{11x}{11} = \frac{23}{11}$

STEP 4

Simplify the left side of the equation to get $x$ .
$x = \frac{23}{11}$

STEP 5

Since the fraction $\frac{23}{11}$ cannot be simplified further and it is not a whole number, the solution to the equation is $x = \frac{23}{11}$ .

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Question Solve the linear equation $5x + 6x = 23$ and express the solution as a whole number or simplified fraction.

Studdy Solution

STEP 1

Assumptions
1. The equation to solve is $5x + 6x = 23$
2. The variable $x$ is what we are solving for
3. The solution can be a whole number or an improper fraction
4. If the solution is a fraction, it should be simplified if possible

STEP 2

First, combine like terms on the left side of the equation.
$5x + 6x = 11x$
So, the equation becomes:
$11x = 23$

STEP 3

To isolate $x$ , divide both sides of the equation by 11.
$\frac{11x}{11} = \frac{23}{11}$

STEP 4

Simplify the left side of the equation to get $x$ .
$x = \frac{23}{11}$

STEP 5

Since the fraction $\frac{23}{11}$ cannot be simplified further and it is not a whole number, the solution to the equation is $x = \frac{23}{11}$ .

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Question Solve the linear equation 5x+6x=235x + 6x = 235x+6x=23 and express the solution as a whole number or simplified fraction.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is 5x+6x=235x + 6x = 235x+6x=232. The variable xxx is what we are solving for3. The solution can be a whole number or an improper fraction4. If the solution is a fraction, it should be simplified if possible

STEP 2

First, combine like terms on the left side of the equation.5x+6x=11x5x + 6x = 11x5x+6x=11xSo, the equation becomes:11x=2311x = 2311x=23

STEP 3

To isolate xxx, divide both sides of the equation by 11.11x11=2311\frac{11x}{11} = \frac{23}{11}1111x​=1123​

STEP 4

Simplify the left side of the equation to get xxx.x=2311x = \frac{23}{11}x=1123​

STEP 5

Since the fraction 2311\frac{23}{11}1123​ cannot be simplified further and it is not a whole number, the solution to the equation is x=2311x = \frac{23}{11}x=1123​.

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Question Solve the linear equation $5x + 6x = 23$ and express the solution as a whole number or simplified fraction.

Assumptions
1. The equation to solve is $5x + 6x = 23$
2. The variable $x$ is what we are solving for
3. The solution can be a whole number or an improper fraction
4. If the solution is a fraction, it should be simplified if possible

First, combine like terms on the left side of the equation.
$5x + 6x = 11x$
So, the equation becomes:
$11x = 23$

To isolate $x$ , divide both sides of the equation by 11.
$\frac{11x}{11} = \frac{23}{11}$

Simplify the left side of the equation to get $x$ .
$x = \frac{23}{11}$

Since the fraction $\frac{23}{11}$ cannot be simplified further and it is not a whole number, the solution to the equation is $x = \frac{23}{11}$ .