Answer:
(x,y) = (-5,8)
Step-by-step explanation:
The given equations are:
[tex]$ 7x + 2y = -19 \hspace{15mm} ....(1) $[/tex]
[tex]$ -5x+ y = 33 \hspace{15mm} ....(2) $[/tex]
Equation (2) can be written as: [tex]$ y = 5x + 33 $[/tex]
The value of [tex]$ y $[/tex] is now substituted in Equation (1).
∴ Equation (1) becomes [tex]$ 7x + 2(5x + 33) = -19 $[/tex]
⇒ [tex]$ 7x + 10x + 66 = -19 $[/tex]
⇒ 17x = - 85
⇒ x = -5
Now substitute the value of x in (2) to get the value of y.
[tex]$ \implies -5(-5) + y = 33 $[/tex]
[tex]$ \implies y = 33 - 25 = 8 $[/tex]
∴ y = 8
The ordered pair is (x,y) = (-5,8)
