Solve the following systems of equations:11x + 15y + 23 = 07x - 2y - 2

1.	Solve the following systems of equations:11x + 15y + 23 = 07x - 2y - 20 = 0
Answer» 11x + 15y + 23 = 0 [1] 7x - 2y - 20 = 0 [2] Multiplying the 1st equation by 2 and 2nd equation by 15, we get 22x + 30y + 46 = 0 [3] 105x - 30y - 300 = 0 [4] Adding [3] and [4] ⇒ 22x + 30y + 46 + 105x – 30y – 300 = 0 ⇒ 127x = 254 ⇒ x = 2 Substituting value of x in equation 1. ⇒ 11(2) + 15y + 23 = 0 ⇒ 22 + 15y + 23 = 0 ⇒ 15y = -45 ⇒ y = -3

Solve the following systems of equations:11x + 15y + 23 = 07x - 2y - 20 = 0

Answer»

11x + 15y + 23 = 0 [1]

7x - 2y - 20 = 0 [2]

Multiplying the 1st equation by 2 and 2nd equation by 15, we get

22x + 30y + 46 = 0 [3]

105x - 30y - 300 = 0 [4]

Adding [3] and [4]

⇒ 22x + 30y + 46 + 105x – 30y – 300 = 0

⇒ 127x = 254

⇒ x = 2

Substituting value of x in equation 1.

⇒ 11(2) + 15y + 23 = 0

⇒ 22 + 15y + 23 = 0

⇒ 15y = -45

⇒ y = -3