Brianna buys one box of colored pencils and two boxes of markers, which together cost $10. Sharron buys three boxes of colored pencils and four boxes of markers, which together cost $24. The two equations below represent this situation.
x+2y=10 3x+4y=24
Gene solves the pair of equations, and finds the cost per box of colored pencils, x=4 , and the cost per box of markers, y=3. Is Gene's solution reasonable? Why or why not?
a.Yes, Gene's solution is reasonable, because 4+2x3=10 and 3x4+4x3=24.
b.No, Gene's solution is not reasonable, because 4+2x3≠10 and 3x4+4x3≠ 24.
c.Yes, Gene's solution is reasonable, because 3+2x4=10 and 3x3+4x4=24.
d.No, Gene's solution is not reasonable, because 3+2x4≠ 10 and 3x3+4x4≠ 24