EXPLANATION.

⇒ x + y = 4. - - - - - (1).

⇒ 3x - 2y = - 3.- - - - - (2).

As we know that,

We can write equation (1) as,

⇒ x + y = 4. - - - - - (1).

⇒ x = 4 - y. - - - - - (1).

Put the value of equation (1) in equation (2), we get.

⇒ 3(4 - y) - 2y = - 3.

⇒ 12 - 3y - 2y = - 3.

⇒ - 5y = - 3 - 12.

⇒ - 5y = - 15.

⇒ y = 3.

Put the value of y = 3 in equation (1), we get.

⇒ x = 4 - y. - - - - - (1).

⇒ x = 4 - 3.

⇒ x = 1.

Values of x = 1  and  y = 3.

Solution:

⇢x + y = 4 -------------(1)

⇢3x - 2y = -3 ---------(2)

We can write equation (1) as,

⇢x = 4 - y --------------(1)

Put x=4-y in equation(2)

⇢3(4 - y) - 2y = -3

⇢12 - 3y - 2y = -3

⇢12 - 5y = -3

⇢-5y = -3 - 12

⇢-5y = -15

⇢5y = 15

⇢y = 15/5

⇢y = 3

Put the value of y=3 in equation (1).

⇢x + 3 = 4

⇢x = 4 - 3

⇢x = 1

• The value of y=3 and x=1.