Question

find fhe products. i. -3x²/5(2x/3-y)​

Answer 1

Answer:

This equation has infinitely many solutions. A formula for them can be obtained by an iteration technique.

2x = 3y ⟹ 2x = 2y + y

⟹ 2x 2 = 2y 2 + y 2

⟹ x = y + y 2.

Lettting

t = y 2 ⟹ y = 2t.

$\blue{\textsf{This is an integer when}}$

t∈Z.

y = 2t and x = y + y 2

⟹ x = 2t + t ⟹ x = 3t.

$\orange{\textsf{A formula for solutions is}}$

(x, y) = (3t, 2t),

t∈Z.

$\pink{\textsf{To get positive integer answers, let}}$

t∈N.

$\huge\mathtt\pink{\textsf{MissEleGant}}$