Question

Solve for x and y:

0.3x + 0.5y = 0.5, 0.5x + 0.7y = 0.74

Answer 1

The given system of equations is

0.3x + 0.5y = 0.5   ...(i)

0.5x + 0.7y = 0.74   ...(ii)

Multiplying (i) by 5 and (ii) by 3 and subtracting (ii) from (i), we get

2.5y – 2.1y = 2.5 – 2.2

⇒ 0.4y = 0.28

⇒ `y = (0.28)/(0.4)` 

⇒ y = 0.7

Now, substituting y = 0.7 in (i), we have

0.3x + 0.5 × 0.7 = 0.5

⇒ 0.3x = 0.50 – 0.35

⇒ 0.3x = 0.15

⇒ `x = (0.15)/(0.3)`

⇒ x = 0.5

Hence, x = 0.5 and y = 0.7.