6 stools and 4chairs cost$58 but 5 stools and 2 chairs cost$ 35 find the cost of each stool and each chair

Stool = s, chair = c

6s+4c=58 - - - (1)

5s+2c=35 - - - (2)

(2) * 2; 10s+4c=70 - - - (3)

(3) - (1); 4s=12

so s=3

from (2)

5s+2c = 35

5 (3) + 2c=35

2c = 35-15

2c = 20

so c=10

then the cost of each stool is $3 and the cost of each chair is $10