Which statement explains why 13x-13y=-26 shares a solution with this system of equations: 10x-3y=29 -3x+10y=-55 A. Because 13x-13=-26 is the product of the two equations in the system of equations, it the must share a solution with the system of equations. B: The three equations all have the same slope but different -intercepts. Equations with the same slope but different -intercepts always share a solution. C: Because 10x-3y is equal to 29, I can add 10x-3y to the left side of -3x+10y=55 and add 29 to the right side of the same equation. Adding equivalent expressions to each side of an equation does not change the solution to the equation. D: Because -3x+10y is equal to 55, I can subtract -3x+10y from the left side of 10x-3y=29 and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution to the equation.