The larger of two numbers exceeds twice the smaller by one. Three times the smaller exceeds the larger by six. If y is the larger number, which of the following systems of equations represents the word problem?

y = 2x + 1 and 3x + 6 = y

y = 2x + 1 and y + 6 = 3x

y = 2 (x + 1) and y + 6 = 3x

Question

2 November, 21:56

+2

Answers (1)

Know the Answer?

Pranav Cole · Answer 1

From the first sentence in the question

y = 2x + 1

and from the second sentence

3x = y + 6

or y + 6 = 3x

The second choice is the correct one.

The larger of two numbers exceeds twice the smaller by one. Three times the smaller exceeds the larger by six. If y is the larger number, which of the following systems of equations represents the word problem?y = 2x + 1 and 3x + 6 = yy = 2x + 1 and y + 6 = 3xy = 2 (x + 1) and y + 6 = 3x