Question

(4x-y, 2x+3y)= (11,37)
Igualdad de pares ordenados....
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Answer 1

(4x-y, 2x+3y)= (11,37) - Igualdad de pares ordenados.

Hola!!!

Armamos las ecuaciones

$(4x-y; 2x+3y) = (11; 37)\\\\\\ 4x - y = 11\qquad\qquad 2x+3y= 37 \qquad \qquad despejamos\\\\ -y = 11 - 4x \qquad\qquad 3y= 37 -2x\\\\\\ y= -11 + 4x \qquad\qquad y =\dfrac{37}{3}- \dfrac{2}{3}x \qquad\qquad\qquad igualamos\\\\\\ -11 + 4x = \dfrac{37}{3}- \dfrac{2}{3}x \\\\\\ -11 - \dfrac{37}{3}= - \dfrac{2}{3}x - 4x \\\\\\ \dfrac{-70}{3}= \dfrac{-14}{3}x \\\\\\ \dfrac{-70}{3}: \dfrac{-14}{3}= x \qquad \qquad\boxed{x= 5} \\\\\\ y= -11+4x \quad\to y= -11+4.5\quad\to y= -11+20\quad\to\boxed{y= 9}$

Entonces

(4x-y ; 2x+3y) = (4.5 - 9; 2.5+3.9)

(4x-y ; 2x+3y) = (20 - 9 ; 10 + 27 )

(4x-y ; 2x+3y) = ( 11 ; 37 )

Espero que te sirva, salu2!!!!