Question

3x+2y=5 ,
2x-3y=12 find the value of x and y

Answer 1

Answer:

x = 3 and y = -2

Step-by-step explanation:

==: 3x + 2y = 5

==: 2x - 3y = 12

==: ( 3x + 2y = 5 ) * 3

==: ( 2x - 3y = 12 ) * 2

==: 9x + 6y = 15

==: 4x - 6y = 24

==: x = 3 and y = -2

Answer 2

Given :

• 3x+2y=5
• 2x-3y=12

To Find :

The value of x and y.

Solution :

Analysis :

Here we have to solve the linear equations simultaneously. We have to solve it by elimination method.

Explanation :

3x + 2y = 5 ------(eq.(i))

2x - 3y = 12 ------(eq.(ii))

Multiplying eq.(i) with 2 and eq.(ii) with 3,

6x + 4y = 10 ------(eq.(iii))

6x - 9y = 36 ------(eq.(iv))

Subtracting eq.(iv) from eq.(iii),

⇒ 4y + 9y = -26

⇒ 13y = -26

⇒ y = -26/13

⇒ y = -2

∴ y = -2.

• Putting the y = -2 in eq.(i),

⇒ 3x + 2y = 5

⇒ 3x + 2(-2) = 5

⇒ 3x + (-4) = 5

⇒ 3x - 4 = 5

⇒ 3x = 5 + 4

⇒ 3x = 9

⇒ x = 9/3

⇒ x = 3

∴ x = 3.

The value of x is 3 and y is -2.