Answer :
Answer:
cost to rent each chair=$1.75, cost to rent each tabble=$10.75
Step-by-step explanation:
Hello, I can help you with this
Step 1
Define
cost to rent a chair=x
cost to rent a table=y
9x=total cost for rent 9 chair
7y = total cost for rent 7 tables
a)The total cost to rent 9 chairs and 7 tables is $91.
in mathematical terms it is
9x+7y=91....equation 1
b) The total cost to rent 3 chairs and 5 tables is
3x+5y=59.... equation 2
and you have 2 equation and 2 unknown terms
let's solve this
from equation 1 isolate x
[tex]9x+7y=91\\9x=91-7y\\x=\frac{91-7y}{9}\\ \\[/tex]
from equation 2 isolate x
[tex]3x+5y=59\\3x=59-5y\\x=\frac{59-5y}{3}[/tex]
now, x= x, so
[tex]x=\frac{91-7y}{9}\\\\\\x=\frac{59-5y}{3} \ \\\ \frac{91-7y}{9}=\frac{59-5y}{3}\\ 3(91-7y)=9(59-5y)\\273-21y=531-45y\\273-531=-45y+21y\\-258=-24y\\y=\frac{258}{24}\\ y=10.75\\[/tex]
now, we know y, use it to find x
[tex]x=\frac{59-5y}{3}\\x=\frac{59-5(10.75)}{3}\\x=\frac{59-53.75}{3}\\\\x=\frac{5.25}{3}\\ x= 1.75\\[/tex]
Have a nice day