Elimination using multiplication. What is the best answer for this?? 2x-3y=21 5x-2y=25

Answer:x=3 and y=-5I eliminated the y variable so I found the least common factor between 2 and 3 which is 6. I multiplied the first equation by 2 and the second equation by -3 (it's a negative 3 because in order to eliminate the variable, they need to have opposite signs.) That gives me a result of:4x-6y=42-15x+6y=-75Now you can eliminate the y variables and just add the equations together to get:-11x=-33x=3Then plug the x back into one of the original equations to find your y. 2(3)-3y=216-3y=21-3y=15y=-5Finally always check your answers by plugging them into the other equation that you did not use5(3)-2(-5)=2515+10=2525=25Hope this helps!