Question

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

Answer 1

Answer:

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

Step-by-step 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

$-2x+(3-x)=-3\\-2x-x=-3-3\\-3x=-6\\3x=6\\x=\dfrac{6}{3}=2\\\\x=2$

Now Substitute  ' x ' in Equation 3 we get

$y=3-2=1\\y=1$

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