To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.Ax+By=CAx+By=C
Move 2x2x
to the left side of the equation because it contains a variable.y−2x=5y-2x=5A
must be positive, so multiply both sides of the equation by −1−1⋅(y−2x)=−1⋅5-1⋅y-2x=-1⋅5
Simplify the left side of the equation.Multiply −1-1
by y−2xy-2x
to get −1(y−2x)-1y-2x
.−1(y−2x)=−1⋅5-1y-2x=-1⋅5
Apply the distributive property.−1y−1(−2x)=−1⋅5-1y-1-2x=-1⋅5
Simplify.Rewrite −1y-1y
as −y-y
.−y−1(−2x)=−1⋅5-y-1-2x=-1⋅5
Multiply −2-2
by −1-1
to get 22
.−y+2x=−1⋅5-y+2x=-1⋅5
Reorder −y-y
and 2x2x
.2x−y=−1⋅52x-y=-1⋅52x−y=−1⋅52x-y=-1⋅52x−y=−1⋅52x-y=-1⋅5
Multiply −1-1
by 55
to get −5-5
.2x−y=−52x-y=-5
