Find the solution to the systems of equation

3x-2y=-9

4x+3y22

x = 1 and y = 6

Step-by-step explanation:

3x - 2y = - 9 ... eqn 1

4x + 3y = 22 ... eqn 2

to eleminate y, multiply eqn 1 by 3 and eqn 2 by 2

(3x - 2y = - 9) * 3

(4x + 3y = 22) * 2

9x - 6y = - 27 ... eqn 3

8x + 6y = 44 ... eqn 4

Add eqn 3 and 4 together and we get

17x = 17

x = 17/17

x = 1

To get y, substitute 1 for x in any of the eqns

taking eqn 4

8 (1) + 6y = 44

8 + 6y = 44

6y = 44 - 8

6y = 36

y = 36/6

y = 6