Solve for x and y:
0.3x + 0.5y = 0.5,
0.5x + 0.7y = 0.74

Solution:

The given system of eq. is


On multiplying equation(i) by 5 and equation(ii) by 3 and subtracting equation(ii) from equation(i), we obtain

Now, substituting in equation(i), we get

As a result, and .