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

x = -9   , y = 14

Step-by-step explanation:

3x + 2y = 7 equation 1

4x + 3y = 15   equation 2

Solving 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 becomes

3( 3x + 2y = 7 )

2 ( 4x + 3y = 15 )

Expanding , we have

9x + 6y = 21 equation 3

8x + 6y = 30 equation 4

Now that the coefficient of y is the same , we will subtract equation 4 from equation 3 to eliminate y , we have

x = -9

Substitute y = -9 into equation 1 to find the value of x , we have :

3( -9 ) + 2y = 7

-27 + 2y = 7

2y = 7 + 27

2y =34

y = 34/2

y = 14