Question

Solve 2x-y=5 and 3x+2y=11

Answer 1

2x-y=5.....Eqn 1
3x+2y=11.....Eqn 2
MULTIPLY EQN WITH 3
(2x-y=5)×3.....Eqn 3
(3x-2y=11)×2.....Eqn 4
SOLVE Eqn 3 and Eqn 4 through elimination method

Answer 2

2x-y=5-->equation 1
and
3x+2y=11---->equation 2
by rewriting equation 1 we get
-y=5-2x
=>y=2x-5--->equation3
put equation 3 in equation 2
  3x+2(2x-5)=11
=>3x+4x-10=11
=>7x-10=11
=>7x=21
=>x=3 equation 4
put equation 4 in equation 1
2(3)-y=5
=>6-y=1
=>:y=5
therefore (x,y)=(3,5)