To solve this system of equations by elimination, what operation could be used to eliminate the x-variable and find the value of y?4x + 3y = 6 18x + 5y = 6A) subtract 2 times the second equation from 9 times the first equation B) subtract 9 times the second equation from 2 times the first equation C) subtract 3 times the second equation from 5 times the first equation D) subtract 5 times the second equation from 3 times the first equation

ANSWERA) subtract 2 times the second equation from 9 times the first equation EXPLANATIONFirst equation: 4x+3y=6Second equation: 18x+5y=6.We want to solve this equation by first eliminating the x-variable.So we multiply the second equation by by 2 to get;Third equation: 36x+10y=12.We now multiply the first equation by 9.Fourth equation: 36x+27y=54If we subtract the third equation from the fourth equation we get:27y-10y=54-1217y=42y=42/17We have now eliminated the variable x, and we can solve for y.The correct answer is A.