Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3. Which linear combination of alvin’s system of equations reveals the number of solutions to the system? 9x + 4y = 36 6x + 2. 5y = 24 infinite solutions: 0x – 0y = 0 no solutions: 0x + 15. 5y = 144 one solution: 0x + 0. 5y = 0 two solutions: 0x – 0. 5y = 60.