100 POINTS AND WILL MARK BRAINLIEST!!! Which statement explains why 13−13=−26 shares a solution with this system of equations:

10−3=29

−3+10=55

A.) Because 13−13=−26 is the product of the two equations in the system of equations, it 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 10−3 is equal to 29, I can add 10−3 to the left side of −3+10=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 −3+10 is equal to 55, I can subtract −3+10 from the left side of 10−3=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.