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
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
x + y = 2 --- eqn I
3x - 2y = 1 --- eqn II
Multiply eqn I by 2
2x + 2y = 4 --- eqn III
add eqn II to eqn III
5x = 5 => x = 1
Substitute 1 for x in eqn I
1 + y = 2 => y = 1
Source: Myschool Past Questions Archive (Record #26728)