14w+3p=70.50 10w+7p=62.50

Which statements are true in explaining why it makes sense that the solution of this system is also a solution to 4w+(−4p)=8.00? Select all that apply.

A. Because 10w+7p is equal to 62.50, subtracting 10w+7p from the left side of 14w+3p=70.50 and subtracting 62.50 from its right side keep the two sides equal.

B. The equation 4w+(−4p)=8.00 is the result of adding the two equations in the system and then dividing the result by 6.

C. The equation 4w+(−4p)=8.00 is the result of subtracting the second equation in the system from the first equation.

D. The equation 4w+(−4p)=8.00 represents the difference between Mai's sales and Tyler's sales, or the result of subtracting Tyler's sales from Mai's.

E. The left side of the equation 4w+(−4p)=8.00 shows the difference in terms of the items sold. The right side shows the difference in dollars. The cost per wreath, w, and the cost per potted plant, p, haven't changed.