Question

Solve for x and y:

2x – 3y = 13, 7x – 2y = 20

Answer 1

The given system of equation is:

2x – 3y = 13   ...(i)

7x – 2y = 20   ...(ii)

On multiplying (i) by 2 and (ii) by 3, we get:

4x – 6y = 26   ...(iii)

21x – 6y = 60   ...(iv)

On subtracting (iii) from (iv) we get:

17x = (60 – 26)

17x = 34

⇒ x = 2

On substituting the value of x = 2 in (i), we get:

4 – 3y = 13

⇒ 3y = (4 – 13)

⇒ 3y = –9

⇒ y = –3

Hence, the solution is x = 2 and y = –3.