Question

2x + 5y = 34 x + 2y = 14 A. x = -26, y = 20 B. x = 2, y = 6 C. x = 3, y = 5.5 D. x = 10, y = 2

Answer 1

2x+5y=34..............(1)

x+2y=14

x=14-2y..........(2)

substitute value of x from (2) in (1)

2(14-2y)+5y=34

distribute 2 over the bracket

28-4y+5y=34

28+y=34

y=34-28

y=6

plugging this y in second equation to get x

x=14-2y

x=14-2(6)

x=2

answer x=2, y=6