Solve x + y = 7 and 3x - 2y = 11.

Options

A. x = 1, y = 1
B. x = 5 , y = 2
C. x = 2, y = 5
D. x = -5, y = -2

Answer

B

Explanation

Given x + y = 7 …(1)
and 3x - 2y = 11 …(2)
Form equation (1) we get y = 7 - x …(3)
Substituting value of y from equation (3) in (2), we get
3x - 2 (7 - x) = 11
implies 3x - 14 + 2x = 11

implies 5x - 14 = 11
implies 5x = 25 or x = 5
Substituting value of x in equation (3), we get
y = 7 - 5
implies y = 2
`therefore` Solution is `{:(x = 5),(y = 2):}}`.