1. Tell whether the system has one solution infinitely many solutions or no solution.

6y=-5x+24
2.5x+3y=12

a. one solution
b. infinitely many solutions***
c. no solution

i know its B but can you solve it step by step for me thank you

double the 2nd:

5x + 6y = 24
now sub the first one into that

5x + (-5x + 24) = 24
5x - 5x + 24 = 24
0 = 0 , which is a true statement, thus

you have an infinite number of solutions.