Solved on Jan 21, 2024

Find the value of $z$ that satisfies the equation $10(z-1)=50$ .

STEP 1

Assumptions
1. We are given the equation $10(z-1)=50$ .
2. We need to solve for the variable $z$ .

STEP 2

The first step is to distribute the multiplication across the parentheses.
$10 \cdot z - 10 \cdot 1 = 50$

STEP 3

Perform the multiplication to simplify the left side of the equation.
$10z - 10 = 50$

STEP 4

Next, we need to isolate the term containing $z$ by adding $10$ to both sides of the equation to cancel out the $-10$ on the left side.
$10z - 10 + 10 = 50 + 10$

STEP 5

Simplify both sides of the equation.
$10z = 60$

STEP 6

Now, we need to solve for $z$ by dividing both sides of the equation by $10$ .
$\frac{10z}{10} = \frac{60}{10}$

STEP 7

Perform the division to find the value of $z$ .
$z = 6$
The solution of the equation $10(z-1)=50$ when solving for $z$ is $z=6$ .

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Find the value of $z$ that satisfies the equation $10(z-1)=50$ .

STEP 1

Assumptions
1. We are given the equation $10(z-1)=50$ .
2. We need to solve for the variable $z$ .

STEP 2

The first step is to distribute the multiplication across the parentheses.
$10 \cdot z - 10 \cdot 1 = 50$

STEP 3

Perform the multiplication to simplify the left side of the equation.
$10z - 10 = 50$

STEP 4

Next, we need to isolate the term containing $z$ by adding $10$ to both sides of the equation to cancel out the $-10$ on the left side.
$10z - 10 + 10 = 50 + 10$

STEP 5

Simplify both sides of the equation.
$10z = 60$

STEP 6

Now, we need to solve for $z$ by dividing both sides of the equation by $10$ .
$\frac{10z}{10} = \frac{60}{10}$

STEP 7

Perform the division to find the value of $z$ .
$z = 6$
The solution of the equation $10(z-1)=50$ when solving for $z$ is $z=6$ .

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Find the value of zzz that satisfies the equation 10(z−1)=5010(z-1)=5010(z−1)=50.

STEP 1

Assumptions1. We are given the equation 10(z−1)=5010(z-1)=5010(z−1)=50.2. We need to solve for the variable zzz.

STEP 2

The first step is to distribute the multiplication across the parentheses.10⋅z−10⋅1=5010 \cdot z - 10 \cdot 1 = 5010⋅z−10⋅1=50

STEP 3

Perform the multiplication to simplify the left side of the equation.10z−10=5010z - 10 = 5010z−10=50

STEP 4

Next, we need to isolate the term containing zzz by adding 101010 to both sides of the equation to cancel out the −10-10−10 on the left side.10z−10+10=50+1010z - 10 + 10 = 50 + 1010z−10+10=50+10

STEP 5

Simplify both sides of the equation.10z=6010z = 6010z=60

STEP 6

Now, we need to solve for zzz by dividing both sides of the equation by 101010.10z10=6010\frac{10z}{10} = \frac{60}{10}1010z​=1060​

STEP 7

Perform the division to find the value of zzz.z=6z = 6z=6The solution of the equation 10(z−1)=5010(z-1)=5010(z−1)=50 when solving for zzz is z=6z=6z=6.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the value of $z$ that satisfies the equation $10(z-1)=50$ .

Assumptions
1. We are given the equation $10(z-1)=50$ .
2. We need to solve for the variable $z$ .

The first step is to distribute the multiplication across the parentheses.
$10 \cdot z - 10 \cdot 1 = 50$

Perform the multiplication to simplify the left side of the equation.
$10z - 10 = 50$

Next, we need to isolate the term containing $z$ by adding $10$ to both sides of the equation to cancel out the $-10$ on the left side.
$10z - 10 + 10 = 50 + 10$

Simplify both sides of the equation.
$10z = 60$

Now, we need to solve for $z$ by dividing both sides of the equation by $10$ .
$\frac{10z}{10} = \frac{60}{10}$

Perform the division to find the value of $z$ .
$z = 6$
The solution of the equation $10(z-1)=50$ when solving for $z$ is $z=6$ .