Solve this system algebraically.
7x - 2y = 4 5y + 3x = 10
{(-41/40, -41/58)}
{(41/40, 41/58)}
{(-40/41, -58/41)}
{(40/41, 58/41)}

The answer for this question is the last option which is D.

 The correct option is

(D)

Step-by-step explanation:  We are given to solve the following system of equations algebraically:

Multiplying equation (i) by 5, we have

Multiplying equation (ii) by 2, we have

Adding equations (iii) and (iv), we get

Substituting the value of x in equation (ii), we get

Thus, the required solution is

Option (D) is correct.

where is the figure