We have

0.3x + 0.5y = 0.5

0.5x + 0.7y = 0.74

Lets simplify these equations. We can rewrite them as,

⇒ 3x + 5y = 5 …(i)

⇒ 50x + 70y = 74 …(ii)

To solve these equations, we need to make one of the variables (in both the equations) have same coefficient.

Lets multiply equation (i) by 14, so that variable y in both the equations have same coefficient.

Recalling equations (i) & (ii),

3x + 5y = 5 [×14

50x + 70y = 74

⇒ - 8x = - 4

⇒

⇒

⇒ x = 0.5

Substitute in eq.(i)/eq.(ii), as per convenience of solving.

Thus, substituting in equation (i), we get

⇒

⇒ 3 + 10y = 10

⇒ 10y = 10 – 3

⇒ 10y = 7

⇒

⇒ y = 0.7

Hence, we have x = 0.5 and y = 0.7