QuestionSolve for $z$ in the equation: $4x + 8z = 2$ .

Studdy Solution

STEP 1

Assumptions1. The equation is given as $4x +8z =$ . . We need to solve the equation for $z$ .

STEP 2

First, we need to isolate the term with $z$ on one side of the equation. We can do this by subtracting $4x$ from both sides of the equation.
$4x +8z -4x =2 -4x$

STEP 3

implify the equation.
$8z =2 -x$

STEP 4

Now, to solve for $z$ , we need to divide both sides of the equation by $8$ .
$\frac{8z}{8} = \frac{2 -4x}{8}$

STEP 5

implify the equation to find the value of $z$ .
$z = \frac{2 -4x}{8}$

STEP 6

implify the right side of the equation by dividing each term by $8$ .
$z = \frac{2}{8} - \frac{4x}{8}$

STEP 7

implify the fractions.
$z = \frac{1}{4} - \frac{x}{2}$ So, the solution to the equation $4x +z =2$ for $z$ is $z = \frac{1}{4} - \frac{x}{2}$ .

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QuestionSolve for $z$ in the equation: $4x + 8z = 2$ .

Studdy Solution

STEP 1

Assumptions1. The equation is given as $4x +8z =$ . . We need to solve the equation for $z$ .

STEP 2

First, we need to isolate the term with $z$ on one side of the equation. We can do this by subtracting $4x$ from both sides of the equation.
$4x +8z -4x =2 -4x$

STEP 3

implify the equation.
$8z =2 -x$

STEP 4

Now, to solve for $z$ , we need to divide both sides of the equation by $8$ .
$\frac{8z}{8} = \frac{2 -4x}{8}$

STEP 5

implify the equation to find the value of $z$ .
$z = \frac{2 -4x}{8}$

STEP 6

implify the right side of the equation by dividing each term by $8$ .
$z = \frac{2}{8} - \frac{4x}{8}$

STEP 7

implify the fractions.
$z = \frac{1}{4} - \frac{x}{2}$ So, the solution to the equation $4x +z =2$ for $z$ is $z = \frac{1}{4} - \frac{x}{2}$ .

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QuestionSolve for zzz in the equation: 4x+8z=24x + 8z = 24x+8z=2.

Studdy Solution

STEP 1

Assumptions1. The equation is given as 4x+8z=4x +8z =4x+8z=. . We need to solve the equation for zzz.

STEP 2

First, we need to isolate the term with zzz on one side of the equation. We can do this by subtracting 4x4x4x from both sides of the equation.4x+8z−4x=2−4x4x +8z -4x =2 -4x4x+8z−4x=2−4x

STEP 3

implify the equation.8z=2−x8z =2 -x8z=2−x

STEP 4

Now, to solve for zzz, we need to divide both sides of the equation by 888.8z8=2−4x8\frac{8z}{8} = \frac{2 -4x}{8}88z​=82−4x​

STEP 5

implify the equation to find the value of zzz.z=2−4x8z = \frac{2 -4x}{8}z=82−4x​

STEP 6

implify the right side of the equation by dividing each term by 888.z=28−4x8z = \frac{2}{8} - \frac{4x}{8}z=82​−84x​

STEP 7

implify the fractions.z=14−x2z = \frac{1}{4} - \frac{x}{2}z=41​−2x​So, the solution to the equation 4x+z=24x +z =24x+z=2 for zzz is z=14−x2z = \frac{1}{4} - \frac{x}{2}z=41​−2x​.

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QuestionSolve for $z$ in the equation: $4x + 8z = 2$ .

Assumptions1. The equation is given as $4x +8z =$ . . We need to solve the equation for $z$ .

First, we need to isolate the term with $z$ on one side of the equation. We can do this by subtracting $4x$ from both sides of the equation.
$4x +8z -4x =2 -4x$

implify the equation.
$8z =2 -x$

Now, to solve for $z$ , we need to divide both sides of the equation by $8$ .
$\frac{8z}{8} = \frac{2 -4x}{8}$

implify the equation to find the value of $z$ .
$z = \frac{2 -4x}{8}$

implify the right side of the equation by dividing each term by $8$ .
$z = \frac{2}{8} - \frac{4x}{8}$

implify the fractions.
$z = \frac{1}{4} - \frac{x}{2}$ So, the solution to the equation $4x +z =2$ for $z$ is $z = \frac{1}{4} - \frac{x}{2}$ .