Question

What is y =2x 5 in standard form?

Answer 1

To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.Ax+By=CA⁢x+B⁢y=C Move 2x2⁢x to the left side of the equation because it contains a variable.y−2x=5y-2⁢x=5 A must be positive, so multiply both sides of the equation by −1 −1⋅(y−2x)=−1⋅5-1⋅y-2⁢x=-1⋅5 Simplify the left side of the equation.Multiply −1-1 by y−2xy-2⁢x to get −1(y−2x)-1⁢y-2⁢x .−1(y−2x)=−1⋅5-1⁢y-2⁢x=-1⋅5 Apply the distributive property.−1y−1(−2x)=−1⋅5-1⁢y-1⁢-2⁢x=-1⋅5 Simplify.Rewrite −1y-1⁢y as −y-⁢y .−y−1(−2x)=−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 2x2⁢x .2x−y=−1⋅52⁢x-⁢y=-1⋅5 2x−y=−1⋅52⁢x-⁢y=-1⋅5 2x−y=−1⋅52⁢x-⁢y=-1⋅5 Multiply −1-1 by 55 to get −5-5 .2x−y=−52⁢x-⁢y=-5