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

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Mathematics

3 August, 03:56

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

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Madeleine · 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