Question Isolate $y$ in the equation $10 x - y = 1$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the linear equation $10x - y = 1$ .
2. We need to isolate $y$ on one side of the equation.

STEP 2

Start with the given equation.
$10x - y = 1$

STEP 3

To isolate $y$ , we want to get $y$ by itself on one side of the equation. We can do this by moving all terms not containing $y$ to the other side.

STEP 4

Add $y$ to both sides of the equation to move it to the left side.
$10x - y + y = 1 + y$

STEP 5

Simplify both sides of the equation.
$10x = 1 + y$

STEP 6

Now, subtract $1$ from both sides of the equation to move the constant term to the right side.
$10x - 1 = y$

STEP 7

Finally, we have isolated $y$ on one side of the equation.
$y = 10x - 1$
This is the solution for the variable $y$ in terms of $x$ .

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Question Isolate $y$ in the equation $10 x - y = 1$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the linear equation $10x - y = 1$ .
2. We need to isolate $y$ on one side of the equation.

STEP 2

Start with the given equation.
$10x - y = 1$

STEP 3

To isolate $y$ , we want to get $y$ by itself on one side of the equation. We can do this by moving all terms not containing $y$ to the other side.

STEP 4

Add $y$ to both sides of the equation to move it to the left side.
$10x - y + y = 1 + y$

STEP 5

Simplify both sides of the equation.
$10x = 1 + y$

STEP 6

Now, subtract $1$ from both sides of the equation to move the constant term to the right side.
$10x - 1 = y$

STEP 7

Finally, we have isolated $y$ on one side of the equation.
$y = 10x - 1$
This is the solution for the variable $y$ in terms of $x$ .

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Question Isolate yyy in the equation 10x−y=110 x - y = 110x−y=1.

Studdy Solution

STEP 1

Assumptions1. We are given the linear equation 10x−y=110x - y = 110x−y=1.2. We need to isolate yyy on one side of the equation.

STEP 2

Start with the given equation.10x−y=110x - y = 110x−y=1

STEP 3

To isolate yyy, we want to get yyy by itself on one side of the equation. We can do this by moving all terms not containing yyy to the other side.

STEP 4

Add yyy to both sides of the equation to move it to the left side.10x−y+y=1+y10x - y + y = 1 + y10x−y+y=1+y

STEP 5

Simplify both sides of the equation.10x=1+y10x = 1 + y10x=1+y

STEP 6

Now, subtract 111 from both sides of the equation to move the constant term to the right side.10x−1=y10x - 1 = y10x−1=y

STEP 7

Finally, we have isolated yyy on one side of the equation.y=10x−1y = 10x - 1y=10x−1This is the solution for the variable yyy in terms of xxx.

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Question Isolate $y$ in the equation $10 x - y = 1$ .

Assumptions
1. We are given the linear equation $10x - y = 1$ .
2. We need to isolate $y$ on one side of the equation.

Start with the given equation.
$10x - y = 1$

To isolate $y$ , we want to get $y$ by itself on one side of the equation. We can do this by moving all terms not containing $y$ to the other side.

Add $y$ to both sides of the equation to move it to the left side.
$10x - y + y = 1 + y$

Simplify both sides of the equation.
$10x = 1 + y$

Now, subtract $1$ from both sides of the equation to move the constant term to the right side.
$10x - 1 = y$

Finally, we have isolated $y$ on one side of the equation.
$y = 10x - 1$
This is the solution for the variable $y$ in terms of $x$ .