Finite Math Examples

$y - 3 = 2 (x - 2)$

Step 1

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

Step 2

Simplify the right side.

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Step 2.1

Simplify $2 (x - 2)$ .

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Step 2.1.1

Apply the distributive property.

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

Step 2.1.2

Multiply $2$ by $- 2$ .

$y - 3 = 2 x - 4$

Step 3

Rewrite the equation.

$2 x - 4 = y - 3$

Step 4

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

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Step 4.1

Subtract $y$ from both sides of the equation.

$2 x - 4 - y = - 3$

Step 4.2

Move $- 4$ .

$2 x - y - 4 = - 3$

Step 5

Move all terms not containing a variable to the right side of the equation.

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Step 5.1

Add $4$ to both sides of the equation.

$2 x - y = - 3 + 4$

Step 5.2

Add $- 3$ and $4$ .

$2 x - y = 1$

Step 6