Solve the following systems of simultaneous linear equations by the me

1.	Solve the following systems of simultaneous linear equations by the method of elimination by equating the coefficient 0.4x + 0.3y = 1.7, 0.7x – 0.2y = 0.8
Answer» The given equations are 0.4x + 0.3y = 1.7 …(i) 0.7x – 0.2y = 0.8 …(ii) Multiplying equation (i) by 2 and (ii) by 3 and then adding, we get 2.9x = 5.8 ⇒ x = 2 Substituting the value of x in (i), we get 0.4 x 2 + 0.3y = 1.7 ⇒ 0.3y = 1.7 – 0.8 ⇒ 0.3y = 0.9 ⇒ y = 3

Solve the following systems of simultaneous linear equations by the method of elimination by equating the coefficient 0.4x + 0.3y = 1.7, 0.7x – 0.2y = 0.8

Answer»

The given equations are

0.4x + 0.3y = 1.7 …(i)

0.7x – 0.2y = 0.8 …(ii)

Multiplying equation (i) by 2 and (ii) by 3 and then adding, we get

2.9x = 5.8

⇒ x = 2

Substituting the value of x in (i), we get

0.4 x 2 + 0.3y = 1.7

⇒ 0.3y = 1.7 – 0.8

⇒ 0.3y = 0.9

⇒ y = 3