QuestionSolve the equation $2.8 = 4.8z - 5.1z - 2.6$ . Express your answer as an integer, fraction, or rounded decimal.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $.8=4.8z-5.1z-.6$ . The variable to solve for is $z$
3. The solution can be an integer, a simplified fraction, or a decimal rounded to two decimal places

STEP 2

First, we need to simplify the equation by combining like terms on the right side. $2.8 = (4.8z -5.1z) -2.6$

STEP 3

Now, subtract $5.1z$ from $.8z$ .
$2.8 = -0.3z -2.6$

STEP 4

Next, we need to isolate the variable $z$ on one side of the equation. To do this, we add $2.6$ to both sides of the equation.
$2.8 +2.6 = -0.3z$

STEP 5

Calculate the left side of the equation.
$5.4 = -0.3z$

STEP 6

To solve for $z$ , we need to divide both sides of the equation by $-0.3$ .
$z = \frac{5.4}{-0.3}$

STEP 7

Calculate the value of $z$ .
$z = \frac{5.4}{-0.3} = -18$ So, the solution to the equation $2.=4.z-5.1z-2.6$ is $z = -18$ .

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QuestionSolve the equation $2.8 = 4.8z - 5.1z - 2.6$ . Express your answer as an integer, fraction, or rounded decimal.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $.8=4.8z-5.1z-.6$ . The variable to solve for is $z$
3. The solution can be an integer, a simplified fraction, or a decimal rounded to two decimal places

STEP 2

First, we need to simplify the equation by combining like terms on the right side. $2.8 = (4.8z -5.1z) -2.6$

STEP 3

Now, subtract $5.1z$ from $.8z$ .
$2.8 = -0.3z -2.6$

STEP 4

Next, we need to isolate the variable $z$ on one side of the equation. To do this, we add $2.6$ to both sides of the equation.
$2.8 +2.6 = -0.3z$

STEP 5

Calculate the left side of the equation.
$5.4 = -0.3z$

STEP 6

To solve for $z$ , we need to divide both sides of the equation by $-0.3$ .
$z = \frac{5.4}{-0.3}$

STEP 7

Calculate the value of $z$ .
$z = \frac{5.4}{-0.3} = -18$ So, the solution to the equation $2.=4.z-5.1z-2.6$ is $z = -18$ .

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QuestionSolve the equation 2.8=4.8z−5.1z−2.62.8 = 4.8z - 5.1z - 2.62.8=4.8z−5.1z−2.6. Express your answer as an integer, fraction, or rounded decimal.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is .8=4.8z−5.1z−.6.8=4.8z-5.1z-.6.8=4.8z−5.1z−.6 . The variable to solve for is zzz3. The solution can be an integer, a simplified fraction, or a decimal rounded to two decimal places

STEP 2

First, we need to simplify the equation by combining like terms on the right side.2.8=(4.8z−5.1z)−2.62.8 = (4.8z -5.1z) -2.62.8=(4.8z−5.1z)−2.6

STEP 3

Now, subtract 5.1z5.1z5.1z from .8z.8z.8z.2.8=−0.3z−2.62.8 = -0.3z -2.62.8=−0.3z−2.6

STEP 4

Next, we need to isolate the variable zzz on one side of the equation. To do this, we add 2.62.62.6 to both sides of the equation.2.8+2.6=−0.3z2.8 +2.6 = -0.3z2.8+2.6=−0.3z

STEP 5

Calculate the left side of the equation.5.4=−0.3z5.4 = -0.3z5.4=−0.3z

STEP 6

To solve for zzz, we need to divide both sides of the equation by −0.3-0.3−0.3.z=5.4−0.3z = \frac{5.4}{-0.3}z=−0.35.4​

STEP 7

Calculate the value of zzz.z=5.4−0.3=−18z = \frac{5.4}{-0.3} = -18z=−0.35.4​=−18So, the solution to the equation 2.=4.z−5.1z−2.62.=4.z-5.1z-2.62.=4.z−5.1z−2.6 is z=−18z = -18z=−18.

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QuestionSolve the equation $2.8 = 4.8z - 5.1z - 2.6$ . Express your answer as an integer, fraction, or rounded decimal.

Assumptions1. The equation to solve is $.8=4.8z-5.1z-.6$ . The variable to solve for is $z$
3. The solution can be an integer, a simplified fraction, or a decimal rounded to two decimal places

First, we need to simplify the equation by combining like terms on the right side. $2.8 = (4.8z -5.1z) -2.6$

Now, subtract $5.1z$ from $.8z$ .
$2.8 = -0.3z -2.6$

Next, we need to isolate the variable $z$ on one side of the equation. To do this, we add $2.6$ to both sides of the equation.
$2.8 +2.6 = -0.3z$

Calculate the left side of the equation.
$5.4 = -0.3z$

To solve for $z$ , we need to divide both sides of the equation by $-0.3$ .
$z = \frac{5.4}{-0.3}$

Calculate the value of $z$ .
$z = \frac{5.4}{-0.3} = -18$ So, the solution to the equation $2.=4.z-5.1z-2.6$ is $z = -18$ .