Question

Which ordered pair is the solution of the system?

x + 3y = 2
2y - x= 3

Please answer it’s due in 1 hour

Answer 1

`x = (-1)\ \& \ y =1`

Explanation:

Given :-

• x + 3y = 2
• 2y - x = 3

And we need to find out the ordered pair is the solution of the system . The system is ,

`\begin{cases} x + 3y = 2 \quad \dots (i) \\\\ 2y - x =3\quad \dots (ii) \end{cases}`

We can see that the signs of x are opposite in the given equation .So on adding we can eliminate x .

On adding the equations :-

`\implies 3y + 2y = 3+2 \\\\\implies 5y = 5 \\\\\implies y = 1`

Substitute for y :-

`\implies 3 + x = 2 \\\\\implies x = 2-3 \\\\\implies x = -1`

Hence the value of x is -1 and y is 1