Question

Twice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?

2 y + x = 5. 5 x minus y = 3.
2 x + y = 5. 5 y minus x = 3.
2 y + x = 5. y minus 5 x = 3.
2 x + y = 5. x minus 5 y = 3.

Answer 1

A) 2y + x = 5. 5x - y = 3

Explanation:

twice a number = 2y (y represents the larger number in this case)

added to a smaller number, so 2y + x (letting x represent the smaller number) equals 5, so 2y + x = 5

Then 5 times the smaller number, x = 5x

the difference of 5x and the larger number (y) = 5x - y = 3

so all together your equation would be 2y + x = 5. and 5x - y = 3.