Math / Algebra

QuestionSolve for $x$ in terms of $b$ and $c: 2 x-b=c$

Studdy Solution

STEP 1

1. The equation $2x - b = c$ is a linear equation in one variable, $x$ .
2. We are solving for $x$ in terms of the parameters $b$ and $c$ .
3. The operations involved are basic algebraic manipulations.

STEP 2

1. Isolate the term involving $x$ .
2. Solve for $x$ by performing algebraic operations.
3. Express $x$ explicitly in terms of $b$ and $c$ .

STEP 3

To isolate the term involving $x$ , add $b$ to both sides of the equation:
$2x - b + b = c + b$
This simplifies to:
$2x = c + b$

STEP 4

Now, solve for $x$ by dividing both sides of the equation by 2:
$\frac{2x}{2} = \frac{c + b}{2}$
This simplifies to:
$x = \frac{c + b}{2}$

STEP 5

The solution is now explicitly expressed in terms of $b$ and $c$ :
$x = \frac{c + b}{2}$

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QuestionSolve for $x$ in terms of $b$ and $c: 2 x-b=c$

Studdy Solution

STEP 1

1. The equation $2x - b = c$ is a linear equation in one variable, $x$ .
2. We are solving for $x$ in terms of the parameters $b$ and $c$ .
3. The operations involved are basic algebraic manipulations.

STEP 2

1. Isolate the term involving $x$ .
2. Solve for $x$ by performing algebraic operations.
3. Express $x$ explicitly in terms of $b$ and $c$ .

STEP 3

To isolate the term involving $x$ , add $b$ to both sides of the equation:
$2x - b + b = c + b$
This simplifies to:
$2x = c + b$

STEP 4

Now, solve for $x$ by dividing both sides of the equation by 2:
$\frac{2x}{2} = \frac{c + b}{2}$
This simplifies to:
$x = \frac{c + b}{2}$

STEP 5

The solution is now explicitly expressed in terms of $b$ and $c$ :
$x = \frac{c + b}{2}$

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QuestionSolve for xxx in terms of bbb and c:2x−b=cc: 2 x-b=cc:2x−b=c

Studdy Solution

STEP 1

1. The equation 2x−b=c 2x - b = c 2x−b=c is a linear equation in one variable, x x x.2. We are solving for x x x in terms of the parameters b b b and c c c.3. The operations involved are basic algebraic manipulations.

STEP 2

1. Isolate the term involving x x x.2. Solve for x x x by performing algebraic operations.3. Express x x x explicitly in terms of b b b and c c c.

STEP 3

To isolate the term involving x x x, add b b b to both sides of the equation:2x−b+b=c+b 2x - b + b = c + b 2x−b+b=c+bThis simplifies to:2x=c+b 2x = c + b 2x=c+b

STEP 4

Now, solve for x x x by dividing both sides of the equation by 2:2x2=c+b2 \frac{2x}{2} = \frac{c + b}{2} 22x​=2c+b​This simplifies to:x=c+b2 x = \frac{c + b}{2} x=2c+b​

STEP 5

The solution is now explicitly expressed in terms of b b b and c c c:x=c+b2 x = \frac{c + b}{2} x=2c+b​

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QuestionSolve for $x$ in terms of $b$ and $c: 2 x-b=c$

1. The equation $2x - b = c$ is a linear equation in one variable, $x$ .
2. We are solving for $x$ in terms of the parameters $b$ and $c$ .
3. The operations involved are basic algebraic manipulations.

1. Isolate the term involving $x$ .
2. Solve for $x$ by performing algebraic operations.
3. Express $x$ explicitly in terms of $b$ and $c$ .

To isolate the term involving $x$ , add $b$ to both sides of the equation:
$2x - b + b = c + b$
This simplifies to:
$2x = c + b$

Now, solve for $x$ by dividing both sides of the equation by 2:
$\frac{2x}{2} = \frac{c + b}{2}$
This simplifies to:
$x = \frac{c + b}{2}$

The solution is now explicitly expressed in terms of $b$ and $c$ :
$x = \frac{c + b}{2}$