Let's see if I can answer this.
4X + 6Y + 3Y + 4W + 6X - 7W =
(4 + 6)X + (6 + 3)Y + (4 - 7)W =
10X + 9Y - 3W
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3y = 4x + 9 -4x + 3y = 9 is the standard form
-4x + 3y = 9
Yes. -4x is one, and 3y is one. They are combined with a "+" sign, and together they are a polynomial.
8x - 7y + 6
4x + 3y = 6y 4x = 3y 4/3 x = y The slope is 4/3 and the y intercept is 0.