Sharon Barajas

Mathematics

24 May, 21:20

Bruce studied this system of equations:

(3x + 2y = 12

x-y = 4

He found that another system of equations had the same solution:

6x + 4y = 24

x-y = 4

Without solving the systems of equations, how can Bruce tell that they both have the same solution?

A. Both systems include x-y=4

B. The two systems use the same two variables.

C. all the coefficients of both systems are integers

D. both equations in the second system are multiples of the equation in the first system