Given : x - 2y = 5
Multiplying the entire equation with 3, we get :
3x - 6y = 15 --------------- [1]
Given : 3x + 15y = -6 ---------------- [2]
Subtracting Equation [2] from Equation [1], We get :
⇒ (3x - 6y) - (3x + 15y) = 15 + 6
⇒ -6y - 15y = 21
⇒ -21y = 21
⇒ y = -1
Substituting y = -1 in Equation [1], We get :
⇒ 3x + 6 = 15
⇒ 3x = 9
⇒ x = 3
So, the solution to the system is : x = 3 and y = -1
First Blank : 3
Second Blank : -1