Question

Question 15. Solve the pair of equations by cross multiplication method :
1/2x +1/3y=2
1/3x+1/2y=13/6​

Answer 1

Step-by-step explanation:

1/2x+1/3y=2.....¹

1/3x+1/2y=13/6....²

taking lcm in equation¹

3x+2y/6=2

3x+2y=12....³

multiplying equation² by 6

1/3x*6+1/2y*6=13/6*6

2x+3y=13.....⁴

Multiplying equation³ by 2 and equation⁴ by 3

6x+4y=24......5

6x+9y=39.......6

Subtracting eq5 from eq6

we get,

5y=15

y=3

substitute y=3 in eq³

3x+2(3)=12

3x+6=12

3x=6

x=2 and y =3