QuestionSolve for $x$ in the equation $a x + b = 20$ , where $a$ and $b$ are nonzero constants. What is $x$ ?

Studdy Solution

STEP 1

Assumptions1. The equation is $ax + b =20$ . $a$ and $b$ are nonzero constants3. We need to solve the equation for $x$

STEP 2

The first step to solve the equation for $x$ is to isolate $x$ on one side of the equation. We can do this by subtracting $b$ from both sides of the equation.
$ax + b - b =20 - b$

STEP 3

implify the equation.
$ax =20 - b$

STEP 4

Now, to completely isolate $x$ , we need to divide both sides of the equation by $a$ .
$\frac{ax}{a} = \frac{20 - b}{a}$

STEP 5

implify the equation to find the solution for $x$ .
$x = \frac{20 - b}{a}$ So, the solution to the equation $ax + b =20$ for $x$ is $x = \frac{20 - b}{a}$ .

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QuestionSolve for $x$ in the equation $a x + b = 20$ , where $a$ and $b$ are nonzero constants. What is $x$ ?

Studdy Solution

STEP 1

Assumptions1. The equation is $ax + b =20$ . $a$ and $b$ are nonzero constants3. We need to solve the equation for $x$

STEP 2

The first step to solve the equation for $x$ is to isolate $x$ on one side of the equation. We can do this by subtracting $b$ from both sides of the equation.
$ax + b - b =20 - b$

STEP 3

implify the equation.
$ax =20 - b$

STEP 4

Now, to completely isolate $x$ , we need to divide both sides of the equation by $a$ .
$\frac{ax}{a} = \frac{20 - b}{a}$

STEP 5

implify the equation to find the solution for $x$ .
$x = \frac{20 - b}{a}$ So, the solution to the equation $ax + b =20$ for $x$ is $x = \frac{20 - b}{a}$ .

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QuestionSolve for xxx in the equation ax+b=20a x + b = 20ax+b=20, where aaa and bbb are nonzero constants. What is xxx?

Studdy Solution

STEP 1

Assumptions1. The equation is ax+b=20ax + b =20ax+b=20 . aaa and bbb are nonzero constants3. We need to solve the equation for xxx

STEP 2

The first step to solve the equation for xxx is to isolate xxx on one side of the equation. We can do this by subtracting bbb from both sides of the equation.ax+b−b=20−bax + b - b =20 - bax+b−b=20−b

STEP 3

implify the equation.ax=20−bax =20 - bax=20−b

STEP 4

Now, to completely isolate xxx, we need to divide both sides of the equation by aaa.axa=20−ba\frac{ax}{a} = \frac{20 - b}{a}aax​=a20−b​

STEP 5

implify the equation to find the solution for xxx.x=20−bax = \frac{20 - b}{a}x=a20−b​So, the solution to the equation ax+b=20ax + b =20ax+b=20 for xxx is x=20−bax = \frac{20 - b}{a}x=a20−b​.

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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 $x$ in the equation $a x + b = 20$ , where $a$ and $b$ are nonzero constants. What is $x$ ?

Assumptions1. The equation is $ax + b =20$ . $a$ and $b$ are nonzero constants3. We need to solve the equation for $x$

The first step to solve the equation for $x$ is to isolate $x$ on one side of the equation. We can do this by subtracting $b$ from both sides of the equation.
$ax + b - b =20 - b$

implify the equation.
$ax =20 - b$

Now, to completely isolate $x$ , we need to divide both sides of the equation by $a$ .
$\frac{ax}{a} = \frac{20 - b}{a}$

implify the equation to find the solution for $x$ .
$x = \frac{20 - b}{a}$ So, the solution to the equation $ax + b =20$ for $x$ is $x = \frac{20 - b}{a}$ .