using elimination method, simultaneously solve this equation: 2y+3x=7 and 4x+3y=15​

Answer: x = -9   , y = 14Step-by-step explanation:3x + 2y = 7 ................ equation 14x + 3y = 15  .............. equation 2Solving using elimination method , we have to decide the variable we are eliminating first , we could eliminate x or y. If we are to eliminate y first , we will multiply equation 1 by 3 and equation 2 by 2 so that the coefficient of y can be the same. The equation then becomes3( 3x + 2y = 7 )2 ( 4x + 3y = 15 )Expanding , we have9x + 6y = 21 ..................equation 38x + 6y = 30 ................ equation 4Now that the coefficient of y is the same , we will subtract equation 4 from equation 3 to eliminate y , we have x = -9Substitute y = -9 into equation 1 to find the value of x , we have :3( -9 ) + 2y = 7-27 + 2y = 72y = 7 + 272y =34y = 34/2y = 14