Question

The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smaller number is –3. Which equations represent this situation?

a- y=2x-3 and y=-2x-3
b- y=2x-3 and y=-1/2x-3/2
c- 2x+3 and y=-2x-3
d- y=2x+3 and y-1/2x-3/2

Answer 1

The difference between twice a number, x, and a smaller number, y, is 3
2x - y = 3 so y = 2x - 3

The sum of twice the number and the smaller number is –3:
2x + y = -3 so y = -2x - 3

answer is

a. y= 2x - 3 and y= -2x - 3

Answer 2

a) y = 2x - 3 and y = -2x - 3

Explanation:

Here x is the larger number and y is the smaller number,

Given,

The difference between twice of x, and y is 3.

That is,

`2x - y = 3\implies y = 2x - 3-----(1)`

And, The sum of twice of x and y is –3,

`2x + y = -3\implies y = -2x - 3-----(2)`

Hence, from equation (1) and (2),

We can say that,

Option a is correct.