Let us say the price of a table is [tex]x[/tex] and a price of a chair [tex]y[/tex]. Using this terminology we can say that the cost of 2 chairs and 5 tables is [tex]2x+5y=2300[/tex]. We have a second equation though, [tex]x=y+30[/tex] from a table being 30 more than the price of a chair. Using this we can solve the system of equations. I think substitution is the quickest way to do this. Plug x from our second equation into the first equation.
[tex]2(y + 30) + 5y = 2300[/tex]
This will simplify to the price of a chair is Rs 320. And add Rs 30 to that and we can find that the price of a table is Rs 350.
It is always good to check. So go ahead and check [tex](2*350)+(5*320)[/tex] to see that the first equation works (we know the second equation works just by eyeballing. And it looks like the cost is Rs 2300! Hooray!
