Question

Can any one help me solve this question through substitution method. plz show me all the steps:

x+y/3=3
3x+y/5=1

Answer 1

By substitution method
`(x,y) = ((-1)/(3) , 10)` i.e. x =
`(-1)/(3)` and y = 10.

Explanation:

We have the following equations and using substitution method we need to find corresponding set of values of x and y:

`x + (y)/(3) = 3\\ 3x+ (y)/(5) = 1` -------> eq 2

Let's find value of x in terms of y using equation 1 as:

`x + (y)/(3) = 3`

⇒
`x= 3-(y)/(3)`

⇒
`x = (9-y)/(3)`

Now, putting this value of x in equation 2 to find value of x:

`3x + (y)/(5) = 1\\\\3((9-y)/(3) ) + (y)/(5) = 1\\\\9-y + (y)/(5) = 1\\\\(-4y)/(5) = -8\\`

`y = 10`

Since
`x = (9-y)/(3)`

∴
`x = (9-10)/(3) = (-1)/(3)`

Hence by substitution method
`(x,y) = ((-1)/(3) , 10)` .