[tex] \mathfrak{\pink{\huge{Hello\:Mate!!!}}}[/tex]
[tex]<b><u>Answer</u></b>[/tex]
[tex]<b>5x - 6y = - 12</b>[/tex]
[tex]<b><u>Step-by-step explanation</u></b>[/tex]
To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.
[tex]<b>Ax+By=C</b>[/tex]
A must be positive, so multiply both sides of the equation by - 1.
Multiply - 1 by - 3x + 6y
-1 (-5x+6y) = - 1 × 12
Apply the distributive property.
-1 (-5x) - 1 (6y) = - 1 × 12
5x - 6y = - 12
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