Algebra Examples

$10 y - 3 x + 6 = 11$

Step 1

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

Step 2

Rewrite the equation.

$11 = 10 y - 3 x + 6$

Step 3

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

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Step 3.1

Subtract $10 y$ from both sides of the equation.

$11 - 10 y = - 3 x + 6$

Step 3.2

Add $3 x$ to both sides of the equation.

$11 - 10 y + 3 x = 6$

Step 3.3

Move $11$ .

$- 10 y + 3 x + 11 = 6$

Step 3.4

Reorder $- 10 y$ and $3 x$ .

$3 x - 10 y + 11 = 6$

Step 4

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

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Step 4.1

Subtract $11$ from both sides of the equation.

$3 x - 10 y = 6 - 11$

Step 4.2

Subtract $11$ from $6$ .

$3 x - 10 y = - 5$

Step 5