(Q1). Solve the given pair of equations using substitution method.

2x - y = 5

3x + 2y = 11

2x - y = 5 ...................(1)

3x + 2y = 11 ..................(2)

Equation (1) can be written as

y = x -

Substituting in equation (2) we get

3x + 2(x - ) = 11

3x + x - = 11

7x = 11 + =

x =
7
 = .

Substitute x =3 in equation (1)

2() - y = 5

y = - 5 =

Substituting the values of x and y in equation (2), we get 3() + 2() = + 2 =

Both the equations are satisfied by x = and y = .

Therefore, the required solution is x = and y = .