PLEASE HELP ASAP 25 POINTSS
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Given Equations :
✿ 5x + 3y = -6 -------------- [1]
✿ 3x - 2y = 4 -------------- [2]
Multiplying Equation [1] with 2, We get :
⇒ 10x + 6y = -12 ----------- [3]
Multiplying Equation [2] with 3, We get :
⇒ 9x - 6y = 12 ---------- [4]
Adding Both Equations [3] and [4], We get :
⇒ (10x + 6y) + (9x - 6y) = -12 + 12
⇒ 19x = 0
⇒ x = 0
Substituting x = 0 in Equation [1], We get :
⇒ 5(0) + 3y = -6
⇒ 3y = -6
⇒ y = -2
⇒ (x , y) = (0 , -2)
Option (a) is the Answer
Answer: A (0, -2)
Step-by-step explanation:
5x + 3y = -6 → 2(5x + 3y = -6) → 10x + 6y = -12
3x - 2y = 4 → 3(3x - 2y = 4) → 9x - 6y = 12
19x = 0
x = 0
Now, input "x = 0" into one of the equations and solve for y:
5x + 3y = -6
5(0) + 3y = -6
3y = -6
y = -2