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)` = 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 = 0.15

⇒x =` (0.15)/(0.3)` = 0.5
Hence, x = 0.5 and y = 0.7.