How do you convert y=3x-6 into standard form (Ax+by=c)?

y=3x-6





subtract 3x from both sides





-3x + y = -6








= ]

How do you convert y=3x-6 into standard form (Ax+by=c)?
y=3x-6 into standard form (Ax+by=c)?





Just move things around!





y - 3x = -6 or


-3x + y = -6. Done.
Reply:A is just the coefficient for x, which means the number beside it. B is the coefficient for y, and C is the constant, the number without a variable(a letter that stands for a number unkown for the time being)


(Ax+By=C)


Now, just take 3x to the other side, and you have it in standard form, Ax+By=C.





Remember to switch the signs of 3x, because it was subracted on both sides.
Reply:y=3x-6


3x - y = 6


You can move terms from one side of the equals sign to the other as long as you change its sign.
Reply:Just move some stuff around. Subtract y and add 6 and you get:


3x - y = 6





So A = 3, B = -1, and C = 6
Reply:In this case you have by = ax - c .... where b = 1; a= 3 and c = 6 to leave it in standard form, you solve for c.





so, you bring c to the other side of the equation (positive) and vice versa with b (now negative) and you get c = ax - by or in other words C = Ax + (-by) where c=6; b=1 and a = 3





final answer:





3x + (-y) = 6





Hope it helped! :)
Reply:first move x and y to right side (with change sign)


y-3x=-6


put first x then y


-3x + y = -6


Ax+By=C


So


A=-3,B=1 ,and C=-6