Pre-Algebra Examples

$y = \frac{2}{1} \cdot (x - 1) + 3$

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Multiply both sides by $1$ .

$1 y = 1 (\frac{2}{1} \cdot (x - 1) + 3)$

Step 3

Simplify the left side.

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Step 3.1

Multiply $y$ by $1$ .

$y = 1 (\frac{2}{1} \cdot (x - 1) + 3)$

Step 4

Simplify the right side.

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Step 4.1

Simplify $1 (\frac{2}{1} \cdot (x - 1) + 3)$ .

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Step 4.1.1

Multiply $\frac{2}{1} \cdot (x - 1) + 3$ by $1$ .

$y = \frac{2}{1} \cdot (x - 1) + 3$

Step 4.1.2

Simplify each term.

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Step 4.1.2.1

Divide $2$ by $1$ .

$y = 2 \cdot (x - 1) + 3$

Step 4.1.2.2

Apply the distributive property.

$y = 2 x + 2 \cdot - 1 + 3$

Step 4.1.2.3

Multiply $2$ by $- 1$ .

$y = 2 x - 2 + 3$

Step 4.1.3

Add $- 2$ and $3$ .

$y = 2 x + 1$

Step 5

Rewrite the equation.

$2 x + 1 = y$

Step 6

Move all terms containing variables to the left side of the equation.

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Step 6.1

Subtract $y$ from both sides of the equation.

$2 x + 1 - y = 0$

Step 6.2

Move $1$ .

$2 x - y + 1 = 0$

Step 7

Subtract $1$ from both sides of the equation.

$2 x - y = - 1$

Step 8