Question

Solve the following simultaneous equations:

x + y = 3; 3x − 2y = 4

Answer 1

x + y = 3 ...(I)

3x − 2y = 4 ...(II)

From equation (I),

∴ x = 3 − y

Putting the value of x in equation (II),

⇒ 3x − 2y = 4

⇒ 3(3 − y) − 2y = 4

⇒ 9 − 3y − 2y = 4

⇒ 9 − 5y = 4

⇒ −5y = 4 − 9

⇒ −5y = −5

⇒ y = `(-5)/(-5)`

⇒ y = 1

Putting the value of y in equation (I),

⇒ x + y = 3

⇒ x + 1 = 3

⇒ x = 3 − 1

⇒ x = 2

∴ (x, y) = (2, 1)