What is y = 2x 5 in standard form?

To write a linear equation in standard form, move each variable term to the left side of the equation and simplify. Ax + By = C A⁢x + B⁢y = C Move 2x 2⁢x to the left side of the equation because it contains a variable. y - 2 x = 5 y - 2 ⁢x = 5 A must be positive, so multiply both sides of the equation by - 1 - 1 ⋅ (y - 2 x) = - 1 ⋅5 - 1 ⋅ y - 2 ⁢x = - 1 ⋅5 Simplify the left side of the equation. Multiply - 1 - 1 by y - 2 x y - 2 ⁢x to get - 1 (y - 2 x) - 1 ⁢ y - 2 ⁢x. - 1 (y - 2 x) = - 1 ⋅5 - 1 ⁢ y - 2 ⁢x = - 1 ⋅5 Apply the distributive property. - 1 y - 1 (-2 x) = - 1 ⋅5 - 1 ⁢y - 1 ⁢ - 2 ⁢x = - 1 ⋅5 Simplify. Rewrite - 1 y - 1 ⁢y as - y - ⁢y. - y - 1 (-2 x) = - 1 ⋅5 - ⁢y - 1 ⁢ - 2 ⁢x = - 1 ⋅5 Multiply - 2 - 2 by - 1 - 1 to get 22. - y + 2x = - 1 ⋅5 - ⁢y + 2⁢x = - 1 ⋅5 Reorder - y - ⁢y and 2x 2⁢x. 2x - y = - 1 ⋅5 2⁢x - ⁢y = - 1 ⋅5 2x - y = - 1 ⋅5 2⁢x - ⁢y = - 1 ⋅5 2x - y = - 1 ⋅5 2⁢x - ⁢y = - 1 ⋅5 Multiply - 1 - 1 by 55 to get - 5 - 5. 2x - y = - 5 2⁢x - ⁢y = - 5