Question

Solve by equating the coefficients of x and y. 6x+9y=57and 9x+6y=48.​

Answer 1

Given equations :

6x + 9y = 57

9x + 6y = 48

[1] Add both these equations, we get

15x + 15y = 105

15 ( x + y ) = 15 ( 7 )

→ x + y = 7 .........( 1 )

[2] Subtract both these equations, we get

- 3x + 3y = 9

3 ( - x + y ) = 3 ( 3 )

→ - x + y = 3 ..........( 2 )

Add ( 1 ) and ( 2 ) , we get

2y = 10

y = 10/2

→ y = 5

Put this value in ( 2 )

- x + 5 = 3

x = 5 - 3

→ x = 2

Hence, x = 2 and y = 5.