Question

(iii) 2x – 3y = 13
7x – 2y = 20​

Answer 1

Answer:

y = -3 & x = 2

Step-by-step explanation:

2x - 3y = 13

2x = 13 + 3y

x = (13 + 3y)/2...(i)

7x - 2y = 20

7x = 20 + 2y

x = (20 + 2y)/7...(ii)

on equating (i) & (ii)

(13 + 3y)/2 = (20 + 2y)/7

7(13 + 3y) = 2(20 + 2y)

91 + 21y = 40 + 4y

21y - 4y = 40 - 91

17y = -51

y = -3

Now, using (ii)

x = (20 + 2y)/7

x = (20 - 6)/7 [exchanging the value of 'y' for -3]

x = 14/7

x = 2