Use the system of equations shown.

Question

gx-6y=h

5x-2y=9

A. What values could you substitute for g and h to create a system of equations with infinitely many solutions.

B. What values could you substitute for g and h to create a system of equations with no solution.

C. what values could you substitute for g and h to create a system of equations with exactly one solution.

Answer 1

g=15 and h= 27 makes the system have an infinite number of solutions

g=15 and h=any number except 27 makes the system have no solution

let g=5 and h=9 and the system has one unique solution (9/5,0)