Math / Algebra

QuestionBookwork code: 2C Calculator not allowed
Write an equation to represent the function machine below.
Input Output $x \rightarrow \times 6+4 \rightarrow 7$

Studdy Solution

STEP 1

1. The function machine takes an input $x$ .
2. The function machine multiplies the input by 6 and then adds 4.
3. The final output of the function machine is 7.

STEP 2

1. Set up the equation based on the function machine operations.
2. Solve the equation for $x$ .

STEP 3

The function machine operation can be expressed as an equation. Starting with the input $x$ , multiply by 6, and then add 4. This gives us the equation:
$6x + 4 = 7$

STEP 4

To solve for $x$ , first subtract 4 from both sides of the equation:
$6x + 4 - 4 = 7 - 4$
This simplifies to:
$6x = 3$

STEP 5

Next, divide both sides of the equation by 6 to solve for $x$ :
$x = \frac{3}{6}$
Simplify the fraction:
$x = \frac{1}{2}$
The solution for $x$ is:
$\boxed{\frac{1}{2}}$

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QuestionBookwork code: 2C Calculator not allowed
Write an equation to represent the function machine below.
Input Output $x \rightarrow \times 6+4 \rightarrow 7$

Studdy Solution

STEP 1

1. The function machine takes an input $x$ .
2. The function machine multiplies the input by 6 and then adds 4.
3. The final output of the function machine is 7.

STEP 2

1. Set up the equation based on the function machine operations.
2. Solve the equation for $x$ .

STEP 3

The function machine operation can be expressed as an equation. Starting with the input $x$ , multiply by 6, and then add 4. This gives us the equation:
$6x + 4 = 7$

STEP 4

To solve for $x$ , first subtract 4 from both sides of the equation:
$6x + 4 - 4 = 7 - 4$
This simplifies to:
$6x = 3$

STEP 5

Next, divide both sides of the equation by 6 to solve for $x$ :
$x = \frac{3}{6}$
Simplify the fraction:
$x = \frac{1}{2}$
The solution for $x$ is:
$\boxed{\frac{1}{2}}$

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QuestionBookwork code: 2C Calculator not allowedWrite an equation to represent the function machine below.Input Output x→×6+4→7x \rightarrow \times 6+4 \rightarrow 7x→×6+4→7

Studdy Solution

STEP 1

1. The function machine takes an input x x x.2. The function machine multiplies the input by 6 and then adds 4.3. The final output of the function machine is 7.

STEP 2

1. Set up the equation based on the function machine operations.2. Solve the equation for x x x.

STEP 3

The function machine operation can be expressed as an equation. Starting with the input x x x, multiply by 6, and then add 4. This gives us the equation:6x+4=7 6x + 4 = 7 6x+4=7

STEP 4

To solve for x x x, first subtract 4 from both sides of the equation:6x+4−4=7−4 6x + 4 - 4 = 7 - 4 6x+4−4=7−4This simplifies to:6x=3 6x = 3 6x=3

STEP 5

Next, divide both sides of the equation by 6 to solve for x x x:x=36 x = \frac{3}{6} x=63​Simplify the fraction:x=12 x = \frac{1}{2} x=21​ The solution for x x x is:12 \boxed{\frac{1}{2}} 21​​

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QuestionBookwork code: 2C Calculator not allowed
Write an equation to represent the function machine below.
Input Output $x \rightarrow \times 6+4 \rightarrow 7$

1. The function machine takes an input $x$ .
2. The function machine multiplies the input by 6 and then adds 4.
3. The final output of the function machine is 7.

1. Set up the equation based on the function machine operations.
2. Solve the equation for $x$ .

The function machine operation can be expressed as an equation. Starting with the input $x$ , multiply by 6, and then add 4. This gives us the equation:
$6x + 4 = 7$

To solve for $x$ , first subtract 4 from both sides of the equation:
$6x + 4 - 4 = 7 - 4$
This simplifies to:
$6x = 3$

Next, divide both sides of the equation by 6 to solve for $x$ :
$x = \frac{3}{6}$
Simplify the fraction:
$x = \frac{1}{2}$
The solution for $x$ is:
$\boxed{\frac{1}{2}}$