Question

Solve using any method. −2x+y=−3 x+y=3 ( 5, 2) ( 1, 2) ( 2, 5) ( 2, 1)

Answer 1

Therefore the solution set is (x , y) = ( 2 , 1 )

Explanation:

Given:

`-2x+y=-3` ...............Equation ( 1 )

`x+y=3\\` ...............Equation ( 2 )

`\therefore y=3-x` ...............Equation ( 3 )

To Find:

x = ?

y = ?

Solution:

Using Substitution Method we will have

Substitute above ' y ' Equation 3 in Equation 1 we get

`-2x+(3-x)=-3\\-2x-x=-3-3\\-3x=-6\\3x=6\\x=(6)/(3)=2\\\\x=2`

Now Substitute ' x ' in Equation 3 we get

`y=3-2=1\\y=1`

Therefore the solution set is (x , y) = ( 2 , 1 )