Infinite number of solutions...means it will be the same line. you have probably heard about equivalent fractions like 1/2 = 2/4...and if u reduce 2/4, it equals 1/2. Well...there are also equivalent equations. They can also be reduced.
3y = 2x - 9 cant be reduced, but u can make an equivalent equation by multiplying it all by a number.Any number.
lets try 2... 2(3y = 2x - 9) = 6y = 4x - 18...this is an equivalent equation....the same line..infinite solutions.Notice that u can reduce it by dividing everything by 2 which would equal 3y = 2x - 9....so u see, it is like equivalent fractions....kind of...lol
or multiply it by 3 3(3y = 2x - 9) = 9y = 6x - 27....this is also equivalent.....so this is an answer as well
and u can multiply it by 4 and get another equivalent equation..or 5, or 6....and so on...
make any sense ?? Just remember, to get the result of infinite solutions, the equations have to be equivalent