Solve the following simultaneous equations 0.5x + 0.6y = 2.3, 0.2x + 0

1.	Solve the following simultaneous equations 0.5x + 0.6y = 2.3, 0.2x + 0.7y = 2.3
Answer» The given equations are 0.5x + 0.6y = 2.3 ..(i) 0.2x + 0.7y = 2.3 …(ii) Multiplying equation (i), by 2 and (ii) by 5 and then subtracting, we get -2.3y = -6.9 ⇒ y = 3 Putting y = 3 in (i), we get 0.5x + 0.6 x 3 = 2.3 ⇒ 0.5x + 1.8 = 2.3 ⇒ 0.5x = 2.3 – 1.8 ⇒ 0.5x = 0.5 ⇒ x = 1 Hence the required solution is x = 1, y = 3.

Solve the following simultaneous equations 0.5x + 0.6y = 2.3, 0.2x + 0.7y = 2.3

Answer»

The given equations are

0.5x + 0.6y = 2.3 ..(i)

0.2x + 0.7y = 2.3 …(ii)

Multiplying equation (i), by 2 and (ii) by 5 and then

subtracting, we get

-2.3y = -6.9 ⇒ y = 3

Putting y = 3 in (i), we get

0.5x + 0.6 x 3 = 2.3

⇒ 0.5x + 1.8 = 2.3

⇒ 0.5x = 2.3 – 1.8

⇒ 0.5x = 0.5

⇒ x = 1

Hence the required solution is x = 1, y = 3.