Solve the simultaneous equation: x+y=2 and 3x-2y=1
-
A.
x=2 and y=1 -
B.
x=1 and y=1 -
C.
x=1 and y=2 -
D.
x=-1 and y=1
Correct Answer: Option B
Explanation
x + y = 2 — eqn I
3x – 2y = 1 — eqn II
Multiply eqn by 2
2x + 2y = 2 — eqn III
Subtract eqn II from eqnI
5x = 5 => x = 1
Substitute 1 for x in eqn 1
1 + y = 2 => y = 1