Question 151375
Let:
x= cost of a chair
y= cost of a table

Five tables and eight chairs cost $115; then 5y+8x=115
three tables and five chairs cost $70. then 3y+5x=70

then:

8x+5y=115
5x+3y=70

1st eq by 5
2nd eq by -8

40x+25y=575
-40x-24y=-560

adding

y=15

5x+3(15)=70
then

5x+45=70
5x=25
x=5

Answer: x=5 and y=15