cual es el valor de x y y en la siguiente ecuacion: 2x+7y=5 3x+14y=3?

2x + 7y = 5 …… [1]
3x + 14y = 3 …… [2]

[1]×3: 6x + 21y = 15 …… [3]
[2]×2: 6x + 28y = 6 …… [4]

[4] - [3]:
(6x + 28y) + (6x - 21)y = -9
7y = -9
y = -9/7

y = -9/7 → [1]:
2x + 7(-9/7) = 5
2x = 14
x = 7

x = 7, y = -9/7

4x+14y = 10
3x+14y = 3
x = 7
y = -9/7

 

What is the value of x and y in the following equation:
2x + 7y = 5
3x + 14y = 3
4x + 14y =10
x = 7, y = -9/7

--
-- 4x -- 14y = - 10
3 x + 14y = 3_________add

-- x = -- 7

x = 7

14 + 7y = 5
7y = -- 9
y = -- 9/7

x = 7 , y = -- 9/7

(1) : 2x + 7y = 5 → 7y = - 2x + 5 → 14y = - 4x + 10
(2) : 3x + 14y = 3 → 14y = - 3x + 3

14y = 14y
- 4x + 10 = - 3x + 3
- 4x + 3x = 3 - 10
- x = - 7
→ x = 7

Recall (1) : 2x + 7y = 5
7y = - 2x + 5
7y = - 14 + 5
→ y = - 9/7

2x + 7y = 5 ... (1)

3x + 14y = 3 ... (2)

Solving equation (1) and (2)

From equation (2) 3x + 14y = 3

x = (3 - 14 y)/3

above equation substitute in equation (1)

2(3 - 14 y)/3 + 7y = 5

y = -9/14

above value substitute in (1)

2x + 7(-9/14) = 5

2x – 9/2 = 5

x = 19/4

What is the value of x and y in the following equation:
2x + 7y = 5
3x + 14y = 3
4x + 14y =10
x = 7. y = -9/7