To solve this system of equations, we can use the method of substitution.

From the first equation, we have X ÷ 2 = y ÷ (-5). We can multiply both sides of this equation by 2 to get rid of the fraction: X = (2/(-5))y.

Now we can substitute this expression for X in the second equation: (2/(-5))y - y = -7.

To simplify this equation, we can find a common denominator for the two terms on the left side. The common denominator is -5, so we have: (2y - 5y)/(-5) = -7.

Combining like terms, we get: -3y/(-5) = -7.

To isolate y, we can multiply both sides of the equation by -5: -3y = -7 * (-5).

Simplifying the right side, we have: -3y = 35.

Dividing both sides of the equation by -3, we get: y = 35/(-3).

Simplifying the right side, we have: y = -35/3.

Now that we have the value of y, we can substitute it back into the first equation to find the value of X: X = (2/(-5)) * (-35/3).

Simplifying this expression, we have: X = 70/15.

To simplify the fraction, we can divide both the numerator and denominator by 5: X = 14/3.

Therefore, the solution to the system of equations is X = 14/3 and y = -35/3.