What is y =2x 5 in standard form?

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Anonymous Anonymous · Answer 1 · 2016-11-07T11:43:47-05:00

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

Multiply −1-1

by 55

to get −5-5

.2x−y=−52⁢x-⁢y=-5