What is the solution to this system of equations?3x + y = 17x + 2y = 49A. It has no solution.B. It has infinite solutions.C. It has a single solution: x = 15, y = 17.D. It has a single solution: x = -3, y = 26.Reset Next
Accepted Solution
A:
Answer:D. It has a single solution: x = -3, y = 26.Step-by-step explanation:The given system is [tex]3x+y=17...(1)[/tex]and[tex]x+2y=49...(2)[/tex].Make x the subject in equation (2).[tex]x=49-2y....(3)[/tex].Put equation (3) into equation (1).[tex]3(49-2y)+y=17[/tex][tex]147-6y+y=17[/tex][tex]-6y+y=17-147[/tex][tex]-5y=-130[/tex][tex]y=26[/tex][tex]x=49-2(26)=-3[/tex]It has a single solution: x = -3, y = 26.