Which statement explains why 13x-13y=-26 shares a solution with this system of equations: 10x-3y=29 -3x+10y=55 A: Because 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 is equal to 29, I can add to the left side of 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 is equal to 55, I can subtract from the left side of and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution to the equation.