Question

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

Answer 1

By substitution method $(x,y) = (\frac{-1}{3} , 10)$ i.e. x = $\frac{-1}{3}$ and y = 10.

Step-by-step explanation:

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

$x + \frac{y}{3} = 3\\ 3x+ \frac{y}{5} = 1$ -------> eq 2

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

$x + \frac{y}{3} = 3$

⇒$x= 3-\frac{y}{3}$

⇒$x = \frac{9-y}{3}$

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

$3x + \frac{y}{5} = 1\\\\3(\frac{9-y}{3} ) + \frac{y}{5} = 1\\\\9-y + \frac{y}{5} = 1\\\\\frac{-4y}{5} = -8$

$y = 10$

Since $x = \frac{9-y}{3}$

∴$x = \frac{9-10}{3} = \frac{-1}{3}$

Hence by substitution method $(x,y) = (\frac{-1}{3} , 10)$ .