Answer:
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
